## QUICK REVIEW 6.2 (For help

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

## QUICK REVIEW 6.2 (For help, go to Section 6.1.) In Exercises 1-4, find

|\mathbf{u}|

. 7.

A=(2,0), B=(1,-\sqrt{3})

\mathbf{u}=\langle 2,-3\rangle

\mathbf{u}=-3 \mathbf{i}-4 \mathbf{j}

\mathbf{u}=\cos 35^{\circ} \mathbf{i}+\sin 35^{\circ} \mathbf{j}

\mathbf{u}=2\left(\cos 75^{\circ} \mathbf{i}+\sin 75^{\circ} \mathbf{j}\right)

A=(-2,0), B=(1,-\sqrt{3})

In Exercises 9 and 10, find a vector

\mathbf{u}

with the given magnitude in the direction of

\mathbf{v}

. In Exercises 5-8, the points

A

and

B

lie on the circle

x^{2}+y^{2}=4

. Find the component form of the vector

\overrightarrow{A B}

. 9.

|\mathbf{u}|=2, \mathbf{v}=\langle 2,3\rangle

A=(-2,0), B=(1, \sqrt{3})

10.

|\mathbf{u}|=3, \mathbf{v}=-4 \mathbf{i}+3 \mathbf{j}

A=(2,0), B=(1, \sqrt{3})