Question

Fill in the blanks:

If $\mathit{u}and\mathit{v}$are two nonzero vectors, then role="math" localid="1653193319930" $u·v=\_\_\_\_\_\_\_\cos \theta$, where$\theta$ is _________

Short answer

$||\mathit{u}||||\mathit{v}||$, angle between the two vectors $\mathit{u}\mathrm{and}\mathit{v}$.

Step-by-step solution

Given information

Given two non zero vectors u, v.

Filling in the blanks

The dot product formula is to be written here:

$\mathit{u}\mathbf{.}\mathit{v}\mathbf{=}||u||||v||\mathbf{cos}\mathit{\theta }$

$\theta$is the angle between u and v.