Question

Determine whether the given vectors are perpendicular.

Short answer

Vector u and v are not perpendicular to each other where,

$\begin{array}{l}u=〈-2,6〉\\ v=〈4,2〉\end{array}$

Step-by-step solution

Step 1. Given information.

$\begin{array}{l}u=-2i+6j\\ v=4i+2j\end{array}$

Step 2. Determining the dot product.

The dot product of vectors

$u·v=(-2)\left(4\right)+\left(6\right)\left(2\right)$

$u·v=-8+12$

$u·v\ne 0$

So the vectors u and v are not perpendicular to each other.