Pre-Calc: 6.3-6.4 Review

Find the component form of a vector with initial

point C = (-5,4) and terminal point D = (4,3).

• <-1,9>

• <9,-1>

• <-1,7>

• <7,-1>

Find the component of the given vector.

• <-5,0>

• <2,12>

• <12,2>

• <7,2>

Show the setup in finding the magnitude (aka length) of the given vector <4, 5>

•  $4^2-5^2$  

•  $4^2+5^2$  

•  $\sqrt{4^2-5^2}$  

•  $\sqrt{4^2+5^2}$  

Find the magnitude of vector <6, -2>

•  $2\sqrt{10}$  

•  $\sqrt{22}$  

•  $\sqrt{32}$  

• 4

Given u = <-9, 0> and v = <7, -4> find u + v

• <4,-16>

• <-16,4>

• <-2,-4>

• <-4,-2>

Given u = <-9, 0> and v = <7, -4> find u - v

• <4,-16>

• <-16,4>

• <-2,-4>

• <-4,-2>

Given u = <-9, 0> and v = <7, -4> find 2u + 3v

• <12,-39>

• <-39,12>

• <-12,3>

• <3,-12>

Find the unit vector in the direction of u = <16, 30>. Reduce all fractions.

• $<\frac{17}{8},\frac{17}{15}>$

• $<\frac{8}{17},\frac{15}{17}>$

• $<\frac{15}{17},\frac{8}{17}>$

• $<\frac{16}{17},\frac{30}{17}>$

Find the unit vector in the given direction of v = <3, -7>. Simplify fractions, do not rationalize denominators.

• $<\frac{3}{\sqrt{58}},-\frac{7}{\sqrt{58}}>$

• $<\frac{3}{2\sqrt{10}},-\frac{7}{2\sqrt{10}}>$

• $<\frac{3}{\sqrt{40}},-\frac{7}{\sqrt{40}}>$

• $<\frac{1}{\sqrt{6}},-\frac{7}{3\sqrt{6}}>$

Given u = <-4, -9>. Find 4u.

• <0,-5>

• <-1,-9/4>

• <-16,-36>

• <4,9>