Question

. If the cross product of two vectors vanishes, what can you say about their directions?

Answer 1

Answer:

Explanation:

Let there are two vectors A and B inclined at an angle Ф, so the cross product of two vectors is

A x B = A B SinФ

when, the cross product vanishes, it means SinФ = 0, it means the two vectors are parallel or antiparallel to each other.

Answer 2

Answer:

parallel

Explanation:

The cross product is binary operation in between two vectors which are in three dimensional space. The cross product of two linearly independent vectors is itself a vector lies in a plane perpendicular to both. It is denoted by symbol x.

c = a x b

⇒c = a b sin θ

If the cross product of two vectors is zero that is it vanishes, it means the vectors are parallel.

a x b = 0

⇒θ = 0° or 180°