Question

Suppose that $\mathbf{u}=3\mathbf{v}$. What is $\mathbf{u}\times \mathbf{v}$?

Short answer

The cross product$\mathit{u}\times \mathit{v}$is zero.

Step-by-step solution

Step 1. Given Information 

We are given two vectors such that,

$\mathbf{u}=3\mathbf{v}$

Step 2. Finding the cross product 

The cross product is given by,

$$\begin{gathered} u\times v=3v\times v \\ =3(v\times v) \\ =3\times 0 \\ =0 \end{gathered}$$