6.6 Assignment

Given the vector $v=-5i+12j$ , find  $\parallel v\parallel$ . 

• 13

• 10.91

• 7

• 17

Let $v$ be the vector from initial point  $P_1=\left(-3,1\right)$  to the terminal point  $P_2=\left(3,9\right)$ . Find the magnitude of vector $v$ . (Hint: first find the vector in terms of a and b.)

• 6

• 8.2

• 10

• 10.4

 Let $v$ be the vector from initial point  $P_1=\left(0,8\right)$  to the terminal point  $P_2=\left(-9,-3\right)$ . Write  $v$  in terms of  $i$ and $j$ . 

•  $v=-9i+5j$  

•  $v=-9i+11j$  

•  $v=-9i-11j$  

•  $v=-9i-5j$  

If $w=2i-5j$   and  $y=2i$ , find  $2w+y$ . 

•  $-10i+2j$  

•  $4i-5j$  

•  $-6i+10j$  

•  $6i+10j$  

Given $u=3i+7j$   and  $v=-5i+4j$ , find  $2v-3u$ . 

•  $21i+2j$ 

•  $-19i-13j$  

•  $-15i+3j$  

• 23

Find $\parallel-2v\parallel$ ,  given $v=i-5j$ .

• 8

• 10.2

• 29.1

• 2.8

find the unit vector in the same direction as  $v=6i-8j$ . SELECT ALL THAT APPLY.

•  $v_u=.6i-.8j$  

•  $v_u=.06i-.08j$  

•  $v_u=\frac{1}{10}i-\frac{1}{10}j$  

•  $v_u=\frac{3}{5}i-\frac{4}{5}j$  

Given $\parallel v\parallel=10$ , and  $\theta=60\degree$ , write $v$ in terms of  $i$ and  $j$ .   

•  $v=5i+8.7j$ 

•  $v=8.7i+5j$  

•  $v=59.4i+10.4j$  

•  $v=10.4i+59.4j$  

The wind is blowing at 12 miles per hour in the

direction N125°W. express its velocity as a vector v in

terms of i and j after 1 hour.

• $v=-9.9i+6.9j$

• $v=9.9i-6.9j$

• $v=-6.9i+9.8j$

• $v=6.9i-9.8j$