Description : For Q 45, Tangent vector for line L2 a.i+4j-k b.2i+4j+k c.i-4j-2k d.i+4j+2k
Last Answer : d.i+4j+2k
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 : If vectors P = 2i + 3j - k and Q = 2i - 5j + 2k. Find i. P + Q ii. 3P - 2Q
Last Answer : If vectors \(\overset\rightarrow{P}\) = 2i + 3j - k and \(\overset\rightarrow{Q}\) = 2i - ... \overset\rightarrow{P}\) - 2\(\overset\rightarrow{Q}\)
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 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 : 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 : 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 : Given a = i + 2j and b = 2i + j, what are the magnitudes of the two vectors? Are these two vectors equal?
Last Answer : Given \(\overset\rightarrow{a}\) = i + 2j and \(\overset\rightarrow{b}\) = 2i + j, ... magnitudes of the two vectors? Are these two vectors equal?
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 : 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 : 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 : 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 : Find unit vector parallel to the resultant of the vectors A = i + 4j - 2k and B = 3i - 5j + k.
Last Answer : Find unit vector parallel to the resultant of the vectors \(\overset\rightarrow{A}\) = i + 4j - 2k and \(\overset\rightarrow{B}\) = 3i - 5j + k.
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 : Find the vector that should be added to the sum of (2i - 5j + 3k) and (4i + 7j - 4k) to give a unit vector along the X-axis.
Last Answer : Find the vector that should be added to the sum of (2i - 5j + 3k) and (4i + 7j - 4k) to give a unit vector along the X-axis.
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 : 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 : 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 : 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 vector product of two unit vectors making an angle of 60° with each other is
Last Answer : The magnitude of vector product of two unit vectors making an angle of 60° with each other is (A) 1 (B) 2 (C) 3/2 (D) √3/2
Description : The vectors of the electromagnetic wave propagation can be expressed in a) Dot product b) Cross product c) Unit vector d) Perpendicular vector
Last Answer : b) Cross product
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 : The initial velocity of an object is vector u = 5i + 10j m/s. Its constant acceleration is vector a = 2i + 3j m/s^2.
Last Answer : The initial velocity of an object is vector u = 5i + 10j m/s. Its constant acceleration is ... Determine the velocity and the displacement after 5 s.
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 : 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 : `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 E = 40xyi + 20x 2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3). a) 105 b) 106 c) 107 d) 108
Last Answer : b) 106
Description : Find the area of a triangle formed by A = 3i - 4j + 2k and B = i + j - 2k as adjacent sides measure in metre.
Last Answer : Find the area of a triangle formed by A = 3i - 4j + 2k and B = i + j - 2k as adjacent sides measure in metre.
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 : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.
Last Answer : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.
Description : State the characteristics of the vector product (cross product) of two vectors.
Last Answer : State the characteristics of the vector product (cross product) of two vectors.
Description : Define and explain vector product of two vectors with suitable examples.
Last Answer : Define and explain vector product of two vectors with suitable examples.
Description : Explain, how two vectors are subtracted. Find their resultant by using triangle law of vector addition.
Last Answer : Explain, how two vectors are subtracted. Find their resultant by using triangle law of vector addition.
Description : Using triangle law of vector addition, explain the process of adding two vectors which are not lying in a straight line.
Last Answer : Using triangle law of vector addition, explain the process of adding two vectors which are not lying in a straight line.
Description : The vector product of two vectors is given by area of the parallelogram. State True/False. a) True b) False
Last Answer : a) True
Description : The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False. a) True b) Fals
Description : What minimum number of non-zero non-collinear vectors is required to produce a zero vector? -General Knowledge
Last Answer : The answer is '3'
Last Answer : answer:
Description : The equation vectors a + a = a is (A) meaningless (B) always true (C) may he possible for limited values of a’ (D) true only when vector a = 0
Last Answer : The equation vectors a + a = a is (A) meaningless (B) always true (C) may he possible for limited values of a’ (D) true only when vector a = 0
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 : What minimum number of non-zero non-collinear vectors is required to produce a zero vector?
Last Answer : 3
Description : In genetic engineering, a DNA segment (gene) of interest, is transferred to the host cell through a vector. Consider the following four agents (i-iv) in this regard and select the correct option about which one or more of these ... ii) and (iv) (b) (i) only (c) (i) and (iii) (d) (ii) and (iv)
Last Answer : (d) (ii) and (iv)
Description : The primary North American vector transmitting arthropodborne virus encephalitis is the a) mosquito Arthropod vectors transmit several types of viruses that cause encephalitis. The primary vector in North America is ... the mosquito. d) flea. The primary vector in North America is the mosquito.
Last Answer : a) mosquito Arthropod vectors transmit several types of viruses that cause encephalitis. The primary vector in North America is the mosquito.
Description : If two springs having individual stiffness K, are in parallel, then their equivalent stiffness will be A. 2K B. K C. K/2 D. 4K
Last Answer : A. 2K
Description : The expression 1/√2 (i + j) is a (A) unit vector (B) null vector (C) vector of magnitude (D) scalar
Last Answer : The expression 1/√2 (i + j) is a (A) unit vector (B) null vector (C) vector of magnitude √2 (D) scalar
Description : Show that vector A = (i - j)/√2 is a unit vector.
Last Answer : Show that \(\vec{A} = \frac{\hat{i} - \hat{j}}{\sqrt{2}}\) is a unit vector. vector A = (i - j)/√2
Description : The unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is a) (-j – k)/1.414 b) (-i – k)/1.414 c) (-i – j)/1.414 d) (-i – j – k)/1.414
Last Answer : a) (-j – k)/1.414
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.