Vector Product of Two Vectors MCQs and Answers will be useful for various entrance exam like NEET, AIIMS, JEE. It includes an extensive section of physics and chemistry. These chapter covers each and every topic of System of Particles and Rotational Motion and more. It also contains chapter-wise MCQs with hints and options to make your preparation easy. We also published System Of Particles And Rotational Motion MCQs and Answers which are most important and relevant topic to your upcoming examination.
Vector Product of Two Vectors MCQs and Answers
1. There are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X [ a – d ].‘X’ represents cross product while ’.‘ represents dot product. Vectors a & d are perpendicular.
a) 0
b) (b . c)(e . f) [ d + a ]
c) (b . c)(e . f) [ d – a ]
d) (b . c)(e . f) [ d X a ]
Answer: b
2. Regarding the velocity of a particle in uniform circular motion about a fixed axis, select the correct option. w & r angular velocity and radius vectors respectively. ‘X’ & ‘ . ’ represent cross & dot products respectively.
a) v = r X w
b) v = w X r
c) v = w.r
d) w = v.r
Answer: b
3. Which of the following statements is false?
a) Cross product is commutative
b) Cross product is distributive over addition
c) Dot product of two vectors gives a scalar
d) Dot product is commutative
Answer: a
4. Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j & k are unit vectors along three mutually perpendicular axes.
a) -20i + 12j + k
b) 10i + 6j + 1/2k
c) 20i – 12j – k
d) 10i – 6j -1/2k
Answer: a