Worksheet: Magnitude of a Vector in 3D

In this worksheet, we will practice finding the norm of a position vector in space.

Q1:

If A = 2 , 5 , 2 , find | | A .

  • A 1
  • B33
  • C1
  • D 3 3

Q2:

If 𝐴 = ( 2 , 1 , 0 ) and 𝐵 = ( 2 , 0 , 4 ) , determine 𝐴 + 𝐵 .

  • A 1 + 6
  • B5
  • C 1 7
  • D 3 5

Q3:

If A = 1 , 4 , 6 , find | | A .

  • A 9
  • B53
  • C81
  • D 5 3

Q4:

If A = 5 , 1 , 1 , find | | A .

  • A5
  • B27
  • C25
  • D 3 3

Q5:

If 𝐴 = ( 0 , 3 , 2 ) and 𝐵 = ( 1 , 0 , 2 ) , determine 𝐴 + 𝐵 .

  • A 1 + 5
  • B 3 2
  • C 2 6
  • D 5 + 1 3

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