Trig 5-4

Trig 5-4

Vectors

Multiple Choice

Quick Check 1
Let v be the vector from  $P_1=(2,-4)$  to  $P_2=(3,4).$   Write  $v$  in terms of  $i$  and $j$  .

•  $v=5i+8j$  

•  $v=i$  

•  $v=5i+0j$  

•  $v=8i+5j$  

Multiple Choice

Quick Check 2
If  $v=5i+4j$  and  $w=6i-9j$  , find  $4v-2w$  
Hint: Use the order of operations and tackle the scalar multiplication first! 

•  $32i-2j$  

•  $8i+34j$  

•  $8i-34j$  

•  $8i-2j$  

Multiple Choice

A rock is thrown with an initial speed of 15 mph in the direction that makes an angle of 60° with the positive x-axis. Express its velocity as a vector in terms of i and j.

• $v=\frac{15\sqrt{3}}{2}i+\ \frac{15}{2}j$

• $v=\frac{15\sqrt{2}}{2}i+\frac{15\sqrt{2}}{2}j$

• $v=\frac{15}{2}i+\frac{15\sqrt{3}}{2}j$