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 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 : For v1 = 2i - 3j and v2 = -6i + 5j, determine the magnitude and direction of v1 + v2.
Last Answer : For v1 = 2i - 3j and v2 = -6i + 5j, determine the magnitude and direction of v1 + v2.
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 : 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 : 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 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 : 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 : 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 : A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m ... .8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k
Last Answer : a. 8i - 6j - 3k
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 : 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 : 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 : 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 : 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 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 : 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 : 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 : 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 : 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 : 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 = 4i + 6j + 3k acting on a particle produces a displacement of S = 2i + 3j + 5k where F is expressed in newton and s in metre.
Last Answer : A force F = 4i + 6j + 3k acting on a particle produces a displacement of S = 2i + 3j + 5k where ... and s in metre. Find the work done by the force.
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 : 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 ‘a’ if A = 3i - 2j + 4k and B = ai + 2j - k are perpendicular to one another.
Last Answer : Find ‘a’ if A = 3i - 2j + 4k and B = ai + 2j - k are perpendicular to one another.
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 : 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 : Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates a) -3.6j – 4k b) -3.6j + 4k c) 3.6j – 4k d) 3.6j + 4k
Last Answer : a) -3.6j – 4k
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 : 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 : Which of the following is not a complex number? a) k = 2 + 3j b) k = complex(2, 3) c) k = 2 + 3l d) k = 2 + 3J
Last Answer : B
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 : 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 : 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 : 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 : Find the power of an EM wave, given that the cross product of the E and H component is 2 + 3j. a) 2 b) 1 c) 4 d) 8
Last Answer : b) 1
Description : If the resultant vector forms an angle of 45°, then the two components are A. parallel to each other B. perpendicular to each other C. anti parallel to each other D. anti perpendicular to each other
Last Answer : perpendicular to each other
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 : Two similar coils of radius `R` are lying concentriclaly with their planes at right angels to each other. The currents flowing in them are `I` and `2I
Last Answer : Two similar coils of radius `R` are lying concentriclaly with their planes at right angels to each other. The currents ... /(2R)` D. `(mu_(0)i)/(R)`
Description : For a two-rotor system, the length of one shaft (A) is twice the other (B), then what is the relation between the mass moment of inertia of the shafts. A 2I(A) = I(B) B I(A) = 2I(B) C I(A) = I(B) D 2I(A) = 3I(B)
Last Answer : A 2I(A) = I(B)
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 : 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 : The voltage of a capacitor 12F with a rating of 2J energy is a) 0.57 b) 5.7 c) 57 d) 570
Last Answer : a) 0.57
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 : If in a pin-jointed plane frame (m + r) > 2j, then the frame is (A) Stable and statically determinate (B) Stable and statically indeterminate (C) Unstable (D) None of the above
Last Answer : (B) Stable and statically indeterminate
Description : Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.
Last Answer : Solution :