### Home > PC3 > Chapter 7 > Lesson 7.2.1 > Problem7-76

7-76.

Given the magnitude and direction, express each vector in component form.

1. $\Vert\vec{\text{r}}\Vert=5$ and $θ=\frac{\pi}{6}$

Draw each vector in a circle. Then make a right triangle with the $x\text{-axis}$.

Solve the rest of the triangle.
Note: Each part forms a special right triangle.

2. $\Vert\vec{\text{s}}\Vert=10$ and $θ=\frac{5\pi}{4}$

3. $\Vert\vec{\text{t}}\Vert=1$ and $θ=\frac{5\pi}{4}$