Vectors Quiz - Version B

Find the magnitude:

 $\overrightarrow{v}=<\sqrt{3},\ \frac{1}{5}>$  

•  $\frac{2\sqrt{19}}{5}$  

•  $\frac{\sqrt{226}}{5}$  

•  $\frac{4\sqrt{5}}{5}$  

•  $2\sqrt{19}$  

If

 $\overrightarrow{v}=<-8,\ 2>$  and  $\overrightarrow{u}=<a,-12>$ , find the value of a that makes vectors v and u orthogonal.

• 3

• 6

• 0

• -3

Find the dot product of the given vectors:

• 92
• 0
• -92
• none of the above

Find the angle between the vectors

• 142.13°

• 23.48°

• 132.88°

• 359.78°

Determine the direction of the vector with initial point (10, -2) and terminal point (-7, 5).

• $157.62\degree$

• $22.38\degree$

• $202.38\degree$

• $337.62\degree$

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.5.G.A.2

Find the direction of the vector <-2,1>.

• 63⁰
• 333⁰
• 27⁰
• 153⁰

Tags

CCSS.HSN.VM.A.1

Which vector equation matches the vector operation shown in the diagram below?

• u-v=w

• u-v=-w

• u+v=w

• v+u=-w

Tags

CCSS.HSN-VM.B.4C

Which vector has the same direction as vector v.  $v=<-5,-12>$  

• $<-\frac{13}{5},-\frac{13}{12}>$

• $<-\frac{5}{13},-\frac{12}{13}>$

• $<\frac{12}{13},\frac{5}{13}>$

• $<65,156>$