Question

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

Answer 1

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°

Answer 2

If the cross product of two vectors vanishes, their directions would be

parallel.

The cross product of two linearly independent vectors means that the

vectors lie in a plane perpendicular to both. We can assume it as z

z = x × y

z = xy sin θ

Let's assume that the cross product of two vectors is zero due to it vanishing,

it means the vectors are parallel. See below:

z = xy sin θ

z=  0 sin θ

θ = 0° or 180°.

Read more about Vector here https://brainly.com/question/25705666