Question

True or False

For any vector v, $v\times v=0$

Short answer

Given statement "For any vector v,$v\times v=0$" is true.

Step-by-step solution

Step 1. Given information

An expression is given as$v\times v=0$for a vectorv.

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 is only one vector. So, there will be no component in the perpendicular direction.

Hence given statement is true.