Notes

This printable supports Common Core Mathematics Standard HSN-VM.B.4, HSN-VM.B.4c

Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.




See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

Vector Subtraction (Grades 11-12)

Print Test (Only the test content will print)
Name: Date:

Vector Subtraction

1. 
Which of the following are equivalent to [math]vec{a} - vec{b} ? [/math] Choose all that apply.
  1. [math]vec{a} + (-vec{b})[/math]
  2. [math]vec{b} - vec{a}[/math]
  3. [math]-vec{a} + vec{b}[/math]
  4. [math]-vec{b} + vec{a}[/math]
2. 
Which of the following is the additive inverse of [math]vec{v} = <<-4,6>> ?[/math]
  1. [math]<<4,6>>[/math]
  2. [math]<<1/4, -1/6>>[/math]
  3. [math]<<-1/4, 1/6>>[/math]
  4. [math]<<4,-6>>[/math]
3. 
For [math]vec{a} = <<4,8>>, \ \ vec{b} = <<1,7>>[/math], find the difference, [math]vec{a} - vec{b}[/math].
  1. [math]<<-3, 7>>[/math]
  2. [math]<<-4,-6>>[/math]
  3. [math]<<3,1>>[/math]
  4. [math]<<5,15>>[/math]
4. 
If vector [math]vec{t} = < 13,28 >[/math] and vector [math]vec{r} = < -13,-28 >[/math], what is the result of [math]vec{t} - vec{r}[/math] ?
  1. [math]< -26,-56 >[/math]
  2. [math]< 0,0 >[/math]
  3. [math]< 26,56 >[/math]
  4. [math]< 41,-41 >[/math]
5. 
If vector [math]vec{v} = < -3,14 >[/math] and vector [math]vec{w} = < -8,8 >[/math], what is the result of [math]vec{w} - vec{v}[/math] ?
  1. [math]< 11,-22>[/math]
  2. [math]< 5,6 >[/math]
  3. [math]< -11,0 >[/math]
  4. [math]< -5,-6 >[/math]
6. 
Let triangle ABC represent vectors [math]vec{AB}, vec{CB}, vec{AC}[/math]. Then [math]vec{AB} - vec{CB} = vec{AC}[/math].
Acute Triangle ABC v2
  1. True
  2. False
7. 
For [math]vec{n} = <<-3,6>>[/math] and [math]vec{m} = <<4,-2>>[/math], find [math]vec{n} - vec{m}[/math] graphically.
Coordinate Plane - 10x10 - Blank



8. 
For [math]vec{a} = <<5,1>>[/math] and [math]vec{b} = <<-3,-4>>[/math], find [math]vec{b} - vec{a}[/math] graphically.
Coordinate Plane - 10x10 - Blank



9. 
For vectors [math]vec{v}[/math] and [math]vec{w}[/math], if one were to find [math]vec{w} - vec{v}[/math] graphically, which of the following could be true? Choose all that apply.
  1. The heads of the vectors would be touching.
  2. The tails of the vectors would be touching.
  3. The head of vector [math]vec{w}[/math] would touch the tail of vector [math]vec{v}[/math].
  4. The head of vector [math]vec{v}[/math] would touch the tail of vector [math]vec{w}[/math].
10. 
Given two vectors, [math]vec{v}[/math] and [math]vec{w}[/math], which are opposite in direction and where [math]||vec{v}|| = 2||vec{w}||[/math]. What does [math]vec{v}-vec{w}[/math] equal? Choose all that apply.
  1. [math]1/2 vec{v}[/math]
  2. [math]3/2 vec{v}[/math]
  3. [math]-3vec{w}[/math]
  4. [math] vec{0}[/math]

Become a Help Teaching Pro subscriber to access premium printables

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options

You need to be a HelpTeaching.com member to access free printables.
Already a member? Log in for access.    |    Go Back To Previous Page