Worksheet: Vectors in Space

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In this worksheet, we will practice working with vectors in space and using this to solve problems.

Q1:

Mariam has fitted a triangular shade sail in her garden, as shown in the diagram.

Find the area of the shade sail. Give your answer correct to 2 decimal places.

  • A 60.29 m2
  • B 50.60 m2
  • C 96.45 m2
  • D 25.30 m2
  • E 50.30 m2

Q2:

A fly located at ( 2 , 4 , 7 ) is heading to an open jam jar located at ( 0 , − 2 , 1 0 ) . Given that it will reach the jam jar in 4 seconds, find the components of its velocity.

  • A ( − 2 , − 6 , 3 )
  • B − 1 2 , 3 2 , − 3 4
  • C ( 2 , 6 , − 3 )
  • D − 1 2 , − 3 2 , 3 4
  • E 1 2 , 3 2 , − 3 4

Q3:

If and are two nonzero vectors, and is the measure of the angle between them, find .

  • A0
  • B1
  • C
  • D
  • E

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