Worksheet: Unit Vector with Given Direction

In this worksheet, we will practice finding a unit vector in the direction of any given vector by dividing the vector by a scalar.

Q1:

Find the unit vector in the same direction as the vector .

  • A
  • B
  • C
  • D
  • E

Q2:

Find the unit vector in the same direction as the vector 3 𝑖 + 5 𝑗 .

  • A 3 2 𝑖 + 5 2 𝑗
  • B 3 3 4 𝑖 + 5 3 4 𝑗
  • C 3 2 2 𝑖 + 5 2 2 𝑗
  • D 3 3 4 3 4 𝑖 + 5 3 4 3 4 𝑗
  • E 3 3 4 3 4 𝑖 + 5 3 4 3 4 𝑗

Q3:

Given A j k = 3 + 5 and B i j k = 2 + 3 + 4 , determine the unit vector in the direction B A .

  • A 7 2 1 ( 2 + 6 ) i j k
  • B 4 1 4 1 ( 2 6 + ) i j k
  • C 8 5 8 5 ( 2 + 9 ) i k
  • D 4 1 4 1 ( 2 + 6 ) i j k

Q4:

Find the unit vector in the direction of 𝐴 𝐵 , where 𝐴 ( 4 , 5 , 2 ) and 𝐵 ( 9 , 2 , 3 ) .

  • A 1 3 , 7 5 3 , 1 5 3
  • B ( 5 , 7 , 1 )
  • C ( 1 , 1 , 1 )
  • D 1 3 , 7 5 3 , 1 5 3

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