### Home > PC > Chapter 10 > Lesson 10.1.2 > Problem10-26

10-26.

We know that a unit vector is a vector of magnitude one unit.

1. Copy the vector diagram. Draw a unit vector with the same initial point and the same direction as the vector of magnitude $13$. Then draw and label components for this vector.

2. Express the unit vector drawn in part (a) in $\textbf{i}$, $\textbf{j}$ form.

$13 ÷ 13 = 1$

3. Chun was not in class for this problem. Describe a quick way for him to find the components of a unit vector in the same direction as the vector $a \textbf{i} + b \textbf{j}$.

Divide the coefficient of each component by the magnitude of the vector.