### Home > PC3 > Chapter 6 > Lesson 6.2.3 > Problem6-103

6-103.

Vector $\vec { \text{b} }$ has an initial point of $\left(−1, 0\right)$ and an endpoint of $\left(2, 2\right)$.

1. Express $\vec { \text{b} }$ in component form.

Graph the vector. Use the graph to determine the horizontal and vertical components.

2. Sketch $\vec { \text{b} }$$3\vec{\text{b}}$, and $\frac{1}{2}\vec{\text{b}}$.

Each of these vectors has the same direction, but a different magnitude.

3. Write a unit vector that has the same direction as $\vec { \text{b} }$.

Determine the magnitude/length of vector $\text{b}$. Then divide each of the components of vector $\text{b}$ by its length.