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The angle between two lines (Vector)

Students are likely to learn this topic when they attend the A-level H2 math class.

The following formulaue can be used to calculate the angle between two lines.

Angle between two lines

cos y = a.b/(|a||b|)
a.b is the scalar product of two vector

Question

Find out all the angles between the following vectors.

  1. a = i + 5j + k
  2. b = i + 6j + 7k
  3. c = i – 2j + 10k

Answer

  1. a & b = 37.9
  2. a & c = 88.9
  3. b & c = 51.6

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