### Home > PC3 > Chapter 7 > Lesson 7.1.1 > Problem7-9

7-9.

A vector has an initial point at $(-1,1)$ and an end point at $(8,6)$. Write the vector in component form. What are the magnitude and direction of the vector?

Sketch the vector. Create a right triangle using the vector.

The legs of the right triangle are the components of the vector.

The length of the hypotenuse is the magnitude of the vector.

Write an equation using the tangent ratio to determine the direction of the vector.