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?

1 Answer

Answer :

What is the answer ?

Related questions

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 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 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 : 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 : 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 : 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 : 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 : 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 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 : 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 : 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 : 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 : 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 ‘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 : 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 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 : 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 : 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 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 : 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 : 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 : 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 : 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 : 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 tangent vector of line having end points P1(3,5,8) and P2 (6,4,3) a.3i+j-5k b.3i-j-5k c.3i-j+5k d.-3i-j-5k

Last Answer : b.3i-j-5k

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 : For a channel section, the shear centre lies at a distance of  (A) dbt/2I (B) d²bt/3I (C) d²b²t/4I (D) db²t/5I

Last Answer : (C) d²b²t/4I

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 : 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 : The volume of a parallelepiped in Cartesian is a) dV = dx dy dz b) dV = dx dy c) dV = dy dz d) dV = dx dz

Last Answer : a) dV = dx dy dz

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 : Determine the voltage drop across the resistance `R_(1)` in the circuit given in Fig. 4.55 with `epsilon=90 V, R_(1)=5 k Omega, R_(2)=5k Omega, R_(3)=

Last Answer : Determine the voltage drop across the resistance `R_(1)` in the circuit given in Fig. 4.55 with `epsilon=90 V, ... k Omega " and " R_(4)=10 k Omega`.

Description : The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity. a) 0.5i – 0.5j + 0.5k b) 0.5i + j -1.5k c) i – j + k d) i + j – k

Last Answer : b) 0.5i + j -1.5k

Description : General gas equation is  (a) PV=nRT  (b) PV=mRT  (d) PV = C  (c) PV=KiRT  (e) Cp-Cv = Wj

Last Answer : Answer : b

Description : Which is better iPhone 6s Plus or Huawei Nova 3i?

Last Answer : Well this depends on what exactly it is that you are looking for they each have different qualities that override the others for example: The Huawei has a prettier external look, a bigger screen, and better front camera. While the iPhone has live photos, face time, and 3D touch.

Description : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16

Last Answer : b) 12

Description : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16

Last Answer : b) 12

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 : 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 : 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 : 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