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Write the Word or Phrase That Best Completes Each Statement m=i4j+5k and b=2i+3j+k\mathbf { m } = \mathbf { i } - 4 \mathbf { j } + 5 \mathbf { k } \text { and } \mathbf { b } = - 2 \mathbf { i } + 3 \mathbf { j } + \mathbf { k }

Question 213

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A sail on a sailboat is supported by a mast and a boom. The length and direction of the mast and boom can be
described by the vectors , respectively, where the components are in meters. m=i4j+5k and b=2i+3j+k\mathbf { m } = \mathbf { i } - 4 \mathbf { j } + 5 \mathbf { k } \text { and } \mathbf { b } = - 2 \mathbf { i } + 3 \mathbf { j } + \mathbf { k } Find the angle (to the nearest tenth of a degree) between the mast and boom.

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