Question

True or False

If uand v are parallel vectors, then

$\mathbf{u}\times \mathbf{v}=\mathbf{0}$

Short answer

Given statement "If u and v are parallel vectors, then$\mathbf{u}\times \mathbf{v}=\mathbf{0}$" is true.

Step-by-step solution

Step 1. Given information

Two vectors uand vare given as parallel vectors.

Step 2. Cross product

Cross product for parallel vectors is zero because in cross product we take perpendicular component of vectors.

But in the question, there are parallel vectors. So, there will be no component in the perpendicular direction.

Hence given statement is true.