Find the angle between a diagonal of a cube and an adjacent edge. (Enter your answer in degrees. Round your answer to two decimal places.)

Question

Find the angle between a diagonal of a cube and an adjacent edge. (Enter your answer in degrees. Round your answer to two decimal places.)
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Solution 1

To find the angle between a diagonal of a cube and an adjacent edge, we can use the concept of vectors and dot product.

  1. Consider a cube with side length 'a'.

  2. The diagonal of the cube can be represented as a vector d = ai + aj + ak. The magnitude of this vector (length of the diagonal) is s 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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