Question

If $\mathbf{v}=3\mathbf{w}$, then the two vectors v and w are ___.

Short answer

If $\mathbf{v}=3\mathbf{w}$, then the two vectors v and w are parallel.

Step-by-step solution

Step 1. Given Information  

We are given an incomplete statement about the dot product.

We have to complete the given statement

Step 2. Completing the Statement 

Two vectors v and w are parallel if there exists a non-zero scalar $\alpha$such that $\mathbf{v}=\alpha w$.

So, for $v=3w$, $\alpha$is 3 .

Hence, the vectors v and w are parallel.