### Home > CALC > Chapter 9 > Lesson 9.3.1 > Problem9-87

9-87.

A vector has an initial point of $(−2, 4)$ and an end point $(5, −4)$. Note: Refer to the Math Notes boxes in this lesson for examples.

1. Draw the vector on your resource page and write it in both component and i, j form.

2. Find the magnitude and direction of the vector.

$\text{magnitude}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$\text{direction}=\tan^{-1}\Big(\frac{y_2-y_1}{x_2-x_1}\Big)$