Pre-Calculus - Week 36 Quiz Multiple Choice Section

 $135\degree$  Which of the following points is the point related to this angle on the unit circle?

•  $\left(\frac{-1}{2},\frac{\sqrt{3}}{2}\right)$  
  

•  $\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)$  

•  $\left(\frac{-\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$  
  

• (0,1)

• (-1,0)

 $240\degree$  Which of the following points is the point related to this angle on the unit circle?

•  $\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)$  
  

•  $\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)$  

•  $\left(\frac{-\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$  
  

• (0,-1)

• (-1,0)

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -1

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Determine the magnitude of the vector <8, -2>

• 2√3

• 2√17

• 2√15

• 2√5

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Find the direction of the vector <-3, -5>.

• 59.03°
• 239.03°
• 210.96°
• 120.96°