Description : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
Last Answer : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
Description : What is the volume of a parallelepiped whose sides are given by the vectors a 3i plus wj plus k b -i plus 3j and c 2i plus 2j plus 5k?
Last Answer : What is the answer ?
Description : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Last Answer : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k
Last Answer : a) -2i + j
Description : Find the angle between the vectors A = i + 2j - k and B = -i + j - 2k.
Last Answer : Find the angle between the vectors A = i + 2j - k and B = -i + j - 2k.
Description : P = i + 2k and Q = 2i + j -2k are two vectors, find the unit vector parallel to P x Q.
Last Answer : P = i + 2k and Q = 2i + j -2k are two vectors, find the unit vector parallel to P x ... find the vector perpendicular to P and Q of magnitude 6 units.
Description : Show that vectors a = 2i + 5j - 6k and b = i + 5/2 j - 3k are parallel.
Last Answer : Show that vectors a = 2i + 5j - 6k and b = i + 5/2 j - 3k are parallel.
Description : Two vectors are said to be equal if – (1) only their magnitudes are same (2) only their directions are same (3) both magnitude and direction are same (4) magnitudes are same but directions are opposite
Last Answer : (3) both magnitude and direction are same Explanation: If the magnitude as well as direction of two vectors are equal, then they are known as equal vectors. In other words, two vectors are ... headed towards the same direction. For two equal vectors, their directed line segments must be parallel.
Description : Two vectors are said to be equal if (1) only their magnitudes are same (2) only their directions are same (3) both magnitude and direction are same (4) magnitudes are same but directions are opposite
Last Answer : both magnitude and direction are same
Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k
Last Answer : a.2i+2j-6k
Description : If A = 5i + 6j + 4k and B = 2i - 2j + 3k determine the angle between A and B.
Last Answer : If A = 5i + 6j + 4k and B = 2i - 2j + 3k determine the angle between A and B.
Description : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Last Answer : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Description : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other,
Last Answer : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other, determine the value of a.
Description : If vectors A = B + C and magnitudes of A, B and C are 5, 4 and 3 unit respectively, then angle between A and B is
Last Answer : If vectors A = B + C and magnitudes of A, B and C are 5, 4 and 3 unit respectively, then angle between A and B ... (C) tan-1 (5/3) (D) cos-1 (3/5)
Description : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Last Answer : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Description : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these vectors as the adjacent sides will be
Last Answer : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these ... units (C) 6√3 square units (D) 8√3 square units
Description : The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees) a) 65.8 b) 66.8 c) 67.8 d) 68.8
Last Answer : c) 67.8
Description : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is
Last Answer : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is (A) 20 (B) 22 (C) 26 (D) 29
Description : Find unit vectors perpendicular to the plane of the vectors, A = and B = 2i - k.
Last Answer : Find unit vectors perpendicular to the plane of the vectors, A = and B = 2i - k.
Description : Determine vectors a × b, given a = 2i + 3j and b = 3i + 5j.
Last Answer : Determine vectors a × b, given a = 2i + 3j and b = 3i + 5j.
Description : Find the power, given energy E = 2J and current density J = x 2 varies from x = 0 and x = 1. a) 1/3 b) 2/3 c) 1 d) 4/3
Last Answer : b) 2/3
Description : If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by (A) m + r + 2j (B) m - r + 2j (C) m + r - 2j (D) m + r - 3j
Last Answer : (C) m + r - 2j
Description : The degree of static indeterminacy of a pin-jointed space frame is given by m r j number of joints) (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) m + r + 3j
Last Answer : (B) m + r - 3j
Description : Degree of kinematic indeterminacy of a pin-jointed plane frame is given by (A) 2j - r (B) j - 2r (C) 3j - r (D) 2j + r
Last Answer : (A) 2j - r
Description : Given P = 4i – j + 8k and Q = 2i – mj + 4k find m if P and Q have the same direction.
Last Answer : Given P = 4i – j + 8k and Q = 2i – mj + 4k find m if P and Q have the same direction.
Description : Define and explain the following terms: i. Zero vector (Null vector) ii. Resultant vector iii. Negative vectors iv. Equal vectors
Last Answer : Define and explain the following terms: i. Zero vector (Null vector) ii. Resultant vector ... vectors iv. Equal vectors v. Position vector
Description : A truss containing j joints and m members, will be a simple truss if (A) m = 2j - 3 (B) j = 2m - 3 (C) m = 3j - 2 (D) j = 3m - 2
Last Answer : (A) m = 2j - 3
Description : A pin-jointed plane frame is unstable if (A) (m + r) < 2j (B) (m + r) = 2j (C) (m + r) > 2j (D) None of the above Where m is number of members, r is reaction components and j is number of joints
Last Answer : (A) (m + r) < 2j
Description : The degree of kinematic indeterminacy of a pin-jointed space frame is (A) 2j - r (B) 3j - r (C) j - 2r (D) j - 3r Where j is number of joints and r is reaction components
Last Answer : (B) 3j - r
Description : The degree of static indeterminacy of a rigid-jointed space frame is (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) 6m + r - 6j Where m, r and j have their usual meanings
Last Answer : (D) 6m + r - 6j
Description : A rigid-jointed plane frame is stable and statically determinate if (A) (m + r) = 2j (B) (m + r) = 3j (C) (3m + r) = 3j (D) (m + 3r) = 3j Where m is number of members, r is reaction components and j is number of joints
Last Answer : (C) (3m + r) = 3j
Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.Zero b.2i + 3j c.i - j - k d.i + j e.i + j + k
Last Answer : c. i - j - k
Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.107 dynes b.i + j + k c.2i + 3j d.zero e.i - j - k
Last Answer : b. i + j + k
Description : Find the curl of A = (y cos ax)i + (y + e x )k a) 2i – ex j – cos ax k b) i – ex j – cos ax k c) 2i – ex j + cos ax k d) i – ex j + cos ax k
Last Answer : b) i – ex j – cos ax k
Description : Two forces have magnitudes of 11 newtons and 5 newtons. The magnitude of their sum could NOT be equal to which of the following values? w) 16 newtons x) 5 newtons y) 9 newtons z) 7 newtons
Last Answer : ANSWER: X -- 5 NEWTONS
Description : The minimum number of forces with unequal magnitudes whose vector sum can equal zero is: w) 1 x) 2 y) 3 z) 4
Last Answer : ANSWER: Y -- 3
Description : In an electromagnetic wave, the ratio of the magnitudes of the electric field to the magnet field is equal to what?
Last Answer : ANSWER: THE SPEED OF LIGHT or C
Description : The vectors `vec(a)=(2-x)hat(i)+2 hat(j)+2hat(k)," "vec(b) = 2hat(i)+(2-y)hat(j)+2hat(k)," "vec(c)=2hat(i)+2hat(j)+(2-z)hat(k) and vec(d) = hat(i) +ha
Last Answer : The vectors `vec(a)=(2-x)hat(i)+2 hat(j)+2hat(k)," "vec(b) = 2hat(i)+(2-y)hat(j)+2hat(k)," "vec(c)=2hat(i)+ ... ` D. ` 1/(x-2)+ 1/(y-2)+ 1/(z- 2) = 1`
Description : i and j are unit vectors along X-axis and Y-axis respectively. What is the magnitude and direction of the vector i + j and i - j?
Last Answer : i and j are unit vectors along X-axis and Y-axis respectively. What is the magnitude and direction of the ... directions of (i + j) and (i - j)?
Description : If vectors v1 = 3i + 4j + k and v2 = i - j - k, determine the magnitude of v1 + v2.
Last Answer : If vectors v1 = 3i + 4j + k and v2 = i - j - k, determine the magnitude of v1 + v2.
Description : The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is, a) 3i – 11j + 7k b) -3i + 11j + 7k c) -3i – 11j – 7k d) -3i + 11j – 7k
Last Answer : Answer: b Explanation: Cross product of two vectors is, A X B = (a2*b3 – b2*a3)i – (a1*b3 – b1*a3)j + (a1*b2 – b1*a2)k. Using the formula, the answer can be calculated.
Description : In the reaction, `I_(2)+2S_(2)O_(3)^(2-) rarr 2I^(-)+S_(4)O_(6)^(2-)`. Equivalent wieght of iodine will be equal to
Last Answer : In the reaction, `I_(2)+2S_(2)O_(3)^(2-) rarr 2I^(-)+S_(4)O_(6)^(2-)`. Equivalent wieght of iodine ... B. Mol. wt./2 C. Mol. wt./4 D. None of these
Description : `A, B` and `C` are parallel conductors of equal length carrying currents `I, I` and `2I` respectively. Distance between `A` and `B` is `x`. Distance b
Last Answer : `A, B` and `C` are parallel conductors of equal length carrying currents `I, I` and `2I` respectively. Distance ... F_(2)` D. `F_(1) = -F_(2)`
Description : Given v1 = 5i + 2j and v2 = ai - 6j are perpendicular to each other, determine the value of a.
Last Answer : Given v1 = 5i + 2j and v2 = ai - 6j are perpendicular to each other, determine the value of a.
Description : Calculate the loss tangent when the dielectric constant in AC field is given by 3 + 2j. a) (2/3) b) (3/2) c) (-3/2) d) (-2/3)
Last Answer : d) (-2/3)
Description : A bracket is shown welded to a vertical column by means of two fillet welds. The bending stress induced in the welds can be given by a) My/I b) 2My/I c) My/2I d) None of the listed
Last Answer : a) My/I
Description : Three forces A, B and C of magnitudes 8 N, 12 N and 20 N acting on a particle are in equilibrim. It can be concluded that a.107 dynes b.B and C act in opposite directions c.one of the forces in non-coplaner d.A and B act at 90? e.one of the forces is non-concurrent
Last Answer : b. B and C act in opposite directions
Description : The process of assigning PCM codes to absolute magnitudes A. Overloading B. All of these C. Quantizing D. Multiplexing
Last Answer : C. Quantizing
Description : Casual research is 1. Together primary data to shed light on the real nature of the problem 2. to ascertain certain magnitudes 3. to find out cause and effect relationship 4. to explore the gravity of the situation 5. none of these
Last Answer : to find out cause and effect relationship
Description : The main advantage of BODE's plot is that multiplication of magnitudes can be converted into : - a) addition b) subtraction c) division d) none of the above
Last Answer : The main advantage of BODE's plot is that multiplication of magnitudes can be converted into : - addition