Theory of Intelligence
11TH•Mathematics•Vectors In Space•Exercise 14.2

14.2 Dot or Scalar Product

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Question 1

Find the cosines of the angle θ\theta between u\mathbf{u} and v\mathbf{v}:

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(i)

u=2i+3j+k\mathbf{u} = 2\mathbf{i} + 3\mathbf{j} + \mathbf{k}, v=−i+2j+2k\mathbf{v} = -\mathbf{i} + 2\mathbf{j} + 2\mathbf{k}

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Step-by-Step Solution

Question 1 • Part (i)

verifiedVerified Answer

(i)

u=2i+3j+k\mathbf{u} = 2\mathbf{i} + 3\mathbf{j} + \mathbf{k}, v=−i+2j+2k\mathbf{v} = -\mathbf{i} + 2\mathbf{j} + 2\mathbf{k}

Solution

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