### Home > CALC > Chapter 11 > Lesson 11.1.3 > Problem11-34

11-34.

For each vector drawn at right:

1. Rewrite the vector in both component and i, j form.

A = –1i + 3j

2. Find each vector's standard angle.

Solve tan(θ) = 3/1. This will solve for the angle in the slope triangle for A.
Recall that the standard angle is measured from the positive $x$-axis.

3. Find $\vec { A } + \vec { B }$ and $\vec { B } - \vec { A }$.

$A + B = 〈 –1, 3〉 + 〈 4, 3〉 = ?$

4. Determine $\| \vec { B } \| \cdot \vec { A }$.

The double bars mean "the magnitude of". To calculate the magnitude of vector B, use the Pythagorean Theorem.