intro to vectors (2021)

find the magnitude of the vector: <10, -15>

• 325

• 18

• 5

• 25

Tags

CCSS.HSN.VM.A.1

find the component form of the vector given terminal point @ (10, 6) and the initial point at (6, -10)

• <4,16>

• (-4,-16)

• (-4, -4)

• <4, -4>

Tags

CCSS.HSN.VM.A.2

which value below is NOT a coordinate for the unit vector of: <-4, 5>?

• -0.62

• 0.12

• 0.34

• 0.28

what is the resultant vector for:

<-7, 5>+3<1,-2>-2j+6i?

• 2i - 3j

• -6j + 5i

• <-6, 5>

• $<\sqrt{41},39^{\degree}>$

Tags

CCSS.HSN-VM.B.4C

what is the result of:

<-9, 4><4,8><1,2><6,3>=

• -48

• 0

• <20, 17>

• <17, 20>

find the direction angle $\theta$  for  -10i+7j 

• about 35 degrees

• about -35 degrees

• about 215 degrees

• about 145 degrees 

• about -55 degrees

Tags

CCSS.HSN.VM.A.1

find the angle $\theta$ in between the vectors: <-6, 8> and <4, 1>

• about -21 degrees

• about 113 degrees

• about 84 degrees

• about 96 degrees

find the direction angle $\theta$  for  <-17, -5>

• about -73 degrees

• about -16 degrees

• about 164 degrees

• about 196 degrees 

Tags

CCSS.HSN.VM.A.1

given 3 vectors:  vector a = <2, 3> vector b = <4, -1> vector c = <8, 5>
find  $\operatorname{proj}_{\left(b-a\right)}c$  

• < -0.4, 0.8>

• <8, 4>

•  $\frac{20}{\sqrt{20}}<-2,4>$  
  

•  $\frac{-4}{89}<8,5>$  
  

given 3 vectors:  vector a = <2, 3> vector b = <4, -1> vector c = <8, 5>
find the projection of the vector with the smallest magnitude onto the vector with the largest magnitude

• < -26.3, 16.4>

• <2.4, 7.2>

•  $\frac{31}{\sqrt{13}}<2,3>$  
  

•  $\frac{31}{89}<8,5>$