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Worksheet: Vector Triple Product

In this worksheet, we will practice calculating the triple product vectors.

Q1:

U , V , and W are three vectors, where U = ⟨ 1 , 0 , 2 ⟩ , V = ⟨ − 1 , 0 , 3 ⟩ , and W = ⟨ 2 , 0 , − 2 ⟩ . Calculate U V W ⋅ ( × ) and U V W × ( × ) .

  • A U V W ⋅ ( × ) = − 1 4 , U V W × ( × ) = ⟨ 1 3 , 0 , − 1 9 ⟩
  • B U V W ⋅ ( × ) = 0 , U V W × ( × ) = ⟨ 1 3 , 0 , − 1 9 ⟩
  • C U V W ⋅ ( × ) = − 1 4 , U V W × ( × ) = ⟨ − 7 , 0 , 1 ⟩
  • D U V W ⋅ ( × ) = 0 , U V W × ( × ) = ⟨ − 8 , 0 , 4 ⟩
  • E U V W ⋅ ( × ) = − 5 , U V W × ( × ) = ⟨ − 2 , 0 , − 1 2 ⟩

Q2:

If , , and , determine .

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Q3:

If , , and , determine .

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Q4:

If , , and , determine .

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Q5:

Determine if , , and .

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Q6:

Determine if , , and .

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Q7:

Find .

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Q8:

Find .

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Q9:

Find .

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Q10:

Find .

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