Question

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

This question was posed to me during an internship interview.

I need to ask this question from Vector Product of Two Vectors in portion System of Particles and Rotational Motion of Physics – Class 11

Answer 1

The correct answer is (a) Cross product is commutative

To explain: Cross product a X b ≠ b X a, therefore it is not commutative.                                                                                      a X (b + c) = (a X b) + (a X c), therefore it is distributive over addition.                                                                                        Dot product is also known as scalar product & a.b = b.a, so it is commutative.