Chapter 13.4, Problem 17WE

To determine

To find: The value of k.

Answer to Problem 17WE

The value ofkis $9$ .

Explanation of Solution

Given information: The vectors $\left(8,6\right)$ and $\left(12,k\right)$ are parallel.

Concept used: If the slopes of two vectors are equal, then the vectors are parallel

Calculation:

Slope of $\left(8,6\right)$ is $\frac{6}{8}$

And slope of $\left(12,k\right)$ is $\frac{k}{12}$

If the slopes of two vectors are equal, then the vectors are parallel

So, $\begin{array}{l}\frac{6}{8}=\frac{k}{12}\\ k=9\end{array}$