v=⟨4,9,4⟩v=⟨4,9,4⟩ w=⟨7,10,6⟩w=⟨7,10,6⟩Find the cosine of the angle between vv and ww.

Question

v=⟨4,9,4⟩v=⟨4,9,4⟩ w=⟨7,10,6⟩w=⟨7,10,6⟩Find the cosine of the angle between vv and ww.
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Solution 1

To find the cosine of the angle between two vectors, we use the formula:

cos(θ) = (v . w) / (||v|| ||w||)

where:

  • v . w is the dot product of v and w
  • ||v|| is the magnitude of v
  • ||w|| is the magnitude of w

Step 1: Find the dot product of v and w v . w = (47) + (910) + (4*6) = 28 + 90 + 24 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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