Calculate the angle (in degree) between the vectors a and b, where i, j and k are unit vectors in the x-, y- and z-directionsa = 2i + 3j - kb = -4i + j + 5k

Question

Calculate the angle (in degree) between the vectors a and b, where i, j and k are unit vectors in the x-, y- and z-directionsa = 2i + 3j - kb = -4i + j + 5k
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Solution 1

The angle between two vectors can be calculated using the dot product formula:

a.b = |a||b|cosθ

where:

  • a.b is the dot product of vectors a and b
  • |a| and |b| are the magnitudes of vectors a and b
  • θ is the angle between a and b

First, let's calculate the dot product of vectors a and b:

a.b = 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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