Question

Determine whether the given vectors are perpendicular.

Short answer

Vector u and v are perpendicular to each other where,

$\begin{array}{l}u=〈6,4〉\\ v=〈-2,3〉\end{array}$

Step-by-step solution

Step 1. Given information.

$\begin{array}{l}u=6i+4j\\ v=-2i+3j\end{array}$

Step 2. Determining the dot product.

The dot product of vectors

$u·v=\left(6\right)(-2)+\left(4\right)\left(3\right)$

$u·v=-12+12$

$u·v=0$

So the vectors u and v are perpendicular to each other.