Lesson Worksheet: Properties of Operations on Vectors Mathematics

In this worksheet, we will practice using the properties of addition and multiplication on vectors.

Q1:

Let u=3,2 and v=9,5.

What are the components of uv+?

  • A3,6
  • B8,11
  • C12,7
  • D6,3
  • E27,10

What are the components of vu+?

  • A12,7
  • B8,11
  • C3,6
  • D6,3
  • E27,10

Q2:

Does the vector sum 1,2+2,3,1 have a solution?

  • ANo
  • BYes

Q3:

Complete the following: 1,9+5,2=5,2+,.

  • A1,9
  • B0,0
  • C1,9
  • D1,5
  • E5,2

Q4:

What is the addition property that shows that aa0+()=?

  • ACommutative property
  • BAssociative property
  • CAddition identity property
  • DDistributive property
  • EAdditive inverse property

Q5:

Given that a=1,5 and b=6,2, find aba++().

  • A7,7
  • B0,0
  • C6,2
  • D1,5
  • E6,2

Q6:

Complete the following: 2(2,5+5,1)=,+10,2.

  • A4,10
  • B4,2
  • C10,2
  • D2,5
  • E4,5

Q7:

What is the addition property that shows that uvvu+=+?

  • AAssociative property
  • BDistributive property
  • CAddition identity property
  • DAdditive inverse property
  • ECommutative property

Q8:

What is the addition property that shows that a0a+=?

  • AAdditive inverse property
  • BCommutative property
  • CDistributive property
  • DAssociative property
  • EAddition identity property

Q9:

What is the addition property that shows that abcabc+(+)=(+)+?

  • AAssociative property
  • BCommutative property
  • CAdditive inverse property
  • DDistributive property
  • EAddition identity property

Q10:

Given that a=1,6, find aa+().

  • A0,0
  • B1,6
  • C1,6
  • D6,1
  • E2,12

This lesson includes 20 additional questions and 135 additional question variations for subscribers.

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