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How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

  1. Find the direction vector of line 1

  2. Find the scalar product of the direction vectors of lines 1 and 2

  3. Calculate the magnitude of both direction vectors

  4. Use (equation on whiteboard) to find the cosine of the angle

  5. Calculate the angle

Answered by Mark M. • Maths tutor

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