Unit 8 Vector Quiz

Find the component form of  $\overrightarrow{\ v\ \ }$  

•  $<\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}>$  

•  $<\sqrt{2},\sqrt{2}>$  

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

•  $<\frac{\sqrt{3}}{2},\frac{1}{2}>$  

•  $<\sqrt{3},1>$  

Tags

CCSS.HSN.VM.A.2

Find the resultant of  $\overrightarrow{\ v\ \ }+\overrightarrow{\ w\ \ }$  

•  $<\frac{2\sqrt{3}+3\sqrt{2}}{2},\frac{\ 3\sqrt{2}+1}{2}>$  

•  $<\frac{3\sqrt{3}+2\sqrt{2}}{2},\frac{\ 2\sqrt{2}+3}{2}>$  

•  $<\frac{\sqrt{2}+\sqrt{3}}{2},\frac{\sqrt{2}+1}{2}>$  

•  $<\frac{3\sqrt{3}+\sqrt{2}}{2},\frac{\sqrt{2}+3}{2}>$  

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Given $\overrightarrow{\ a\ }=<-3,-6>$ and $\overrightarrow{\ b\ }=<4,-3>$ find  $\overrightarrow{\ r\ }=3\overrightarrow{\ a\ }-2\overrightarrow{\ b\ }$  (Do not include spaces in your answer)

Given $\overrightarrow{\ a\ }=<-3,-6>\ and\ \overrightarrow{\ b\ }=<4,-3>$  find the unit vector of  $\overrightarrow{\ b\ }$   (Do not include spaces in your answers)

  

Given $\overrightarrow{\ v\ }=<1,-1,1>and\ \overrightarrow{\ w\ }=<0,-3,2>$  find  $\left|\left|\overrightarrow{\ v\ }\right|\right|+\left|\left|\overrightarrow{\ w\ }\right|\right|$  . Round your answer to the nearest hundredth place. 

Tags

CCSS.HSN.VM.A.1

Given $\overrightarrow{\ a\ }=<-3,-6>\ and\ \overrightarrow{\ b\ }=<4,-3>$  find  $\left|\left|\overrightarrow{\ a\ }+2\overrightarrow{\ b\ }\right|\right|$  

Given $\overrightarrow{\ v\ }=<1,-1,1>and\ \overrightarrow{\ w\ }=<0,-3,2>$  find  $\overrightarrow{\ v\ }\cdot\overrightarrow{\ w\ }$  

Given vectors  $\overrightarrow{\ v\ }=<1,-1,1>and\ \overrightarrow{\ w\ }=<0,-3,2>$  find the angle between the two vectors. Round your answer to the nearest hundredth.

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

• Horizontal -403.6
   Vertical 123.4
• Horizontal 123.4
  Vertical -403.6
• Horizontal 123.4
  Vertical 403.6
• Horizontal -123.4 
  Vertical -403.6

Tags

CCSS.HSN.VM.A.2

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〉

Tags

CCSS.HSN.VM.A.2