Lesson Worksheet: Adding and Subtracting Vectors in 2D Mathematics • 12th Grade

In this worksheet, we will practice adding and subtracting vectors in 2D.

Q1:

If a=3,2 and b=4,1, find ab+.

  • A7,3
  • B7,1
  • C5,5
  • D2,6
  • E5,3

Q2:

Let z be the zero vector. What is zu+ equal to for any vector u?

  • Az
  • Bu

Q3:

Given that u=2,3, v=3,2, and w=1,5, find the components of uvw++.

  • A5,1
  • B0,0
  • C4,6
  • D6,4
  • E6,30

Q4:

Shown on the grid of unit squares are the vectors u, v, and uv+.

What are the components of u?

  • A2,2
  • B2,1
  • C2,2
  • D2,4
  • E2,1

What are the components of v?

  • A3,4
  • B3,4
  • C3,4
  • D2,4
  • E3,4

What are the components of uv+?

  • A1,3
  • B1,3
  • C1,3
  • D1,3
  • E1,4

Q5:

If =5u and =2v, what is the smallest that +uv could be?

Q6:

Given the vectors 𝐴𝐵=34ij and 𝐶𝐷=55ij, calculate 𝐴𝐵𝐶𝐷.

  • A8+9ij
  • B29ij
  • C8ij
  • D2+9ij
  • E8+ij

Q7:

Given that A=2,2, B=5,2, and C=3,2, find +ABC.

  • A4,2
  • B10,2
  • C0,2
  • D0,2

Q8:

Given that A=4,5 and AB+=2,7, find B.

  • A6,2
  • B2,12
  • C6,2
  • D6,2
  • E6,2

Q9:

Given that A=7,1 and AB=3,2, find AB+.

  • A11,1
  • B11,0
  • C11,1
  • D11,0
  • E4,1

Q10:

Given that A=3,2, B=5,4, and ABC+=6,1, find C.

  • A8,3
  • B14,7
  • C14,7
  • D2,5
  • E2,5

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