Vectors

​Vectors in Mathematics

Review Quizziz​

Ms. Hagen's Precalculus Class​

Multiple Choice

A vector has its tail at the point (1, 3) and its tip at the point (7, 4). Write the vector in component form.

• $$<6,\ 1>$$  

• $$<8,\ 7>$$  

• $$<-6,\ -1>$$  

• $$<-8,\ -7>$$  

Multiple Choice

A vector has its tail at the point (0, 5) and its tip at the point (1, 1). Write the vector in component form.

• $$<1,\ 6>$$  

• $$<1,\ -4>$$  

• $$<-1,\ 4>$$  

• $$<-1\ -6>$$  

Multiple Choice

A vector has its tail at the point (-3, -6) and its head at the point (3, -1). Write the vector in component form

• <0, -7>

• <6, 5>

• <-6,-5>

• <0,5>

Multiple Choice

A vector has its tail at the point (-10, -8) and its head at the point (-1, -2). Write the vector in component form

• <-9, -6>

• <-11, -10>

• <9, 6>

• <11, 10>

Multiple Choice

Challenge Question!

A vector has its tail at the point (1, 2, 3) and its head at the point (3, 2, 1). Write the vector in component form

• <4, 4, 4>

• <-2, 0, 2>

• <2, 0, -2>

• none of the above

Multiple Choice

A=<6, -2>

Find -3A

• <18, 6>

• <-2, 1>

• <-18, 6>

• <3, -5>

Multiple Choice

V=<13, 11>

Find 2V

• <26, 22>

• <15, 13>

• <11, 9>

• <-26, -22>

Multiple Choice

A=<16, -12>

Find $$\frac{1}{2}A$$  

• <-8, 6>

• <15.5, -12.5>

• <8, -6>

• <4, -3>

Multiple Choice

Challenge Question!

A=<27, 18, 9>

Find $$\frac{1}{3}A$$  

• <7, 8, 9>

• <9, 6, 3>

• <30, 21, 12>

• <81, 54, 27>

Multiple Choice

A=<2, 7> B=<3, 3>

Find A+B

• <5, 10>

• <1, -4>

• <-1, 4>

• <-5, -10>

Multiple Choice

A=<1, 8> B=<-4, -9>

Find 3A+B

• <-1, 15>

• <1, -4>

• <-1, 4>

• <1, 15>

Multiple Choice

What is the length of this vector?

• 8

• 5.8

• 4

• 8.5

Multiple Choice

What is the direction angle of this vector?

• $$50\degree$$  

• $$59\degree$$  

• $$31\degree$$  

• $$10\degree$$  

Multiple Choice

What is the x-component of this vector?

• 3

• 5.9

• 6

• 5.2

Multiple Choice

What is the y-component of this vector?

• 3

• 5.9

• 6

Multiple Choice

A vector has magnitude 36 and direction angle 15 $$\degree$$  

What is the x-component of the vector?

• 8.8

• 12.1

• 9.3

• 34.8

Multiple Choice

A vector has magnitude 36 and direction angle 15 $$\degree$$  

What is the y-component of the vector?

• 8.8

• 12.1

• 9.3

• 34.8

Multiple Choice

A vector has magnitude 114 and direction angle 30 $$\degree$$  

What is the x-component of the vector?

• 98.7

• 57.0

• -12.2

• 27.4

Multiple Choice

A vector has magnitude 114 and direction angle 30 $$\degree$$  

What is the y-component of the vector?

• 98.7

• 57.0

• -12.2

• 27.4

Multiple Choice

A vector has magnitude 56 and direction angle 95 $$\degree$$  

What is the x-component of the vector?

• 4.9

• 55.8

• -4.9

• -55.8

Multiple Choice

A vector has magnitude 56 and direction angle 95 $$\degree$$  

What is the y-component of the vector?

• 4.9

• 55.8

• -4.9

• -55.8

Poll

Do you like this method of practice/review, and should we do one of these tomorrow on Systems of Equations?

• Yes to both!

• Yes, but do something other than Systems of Equations or Vectors tomorrow

• No, I'd rather do worksheets