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The normalising relation

Exercise and reference answers

Questions
  1. Question
    l² + m² + n² equals
    Choices
    1. 0
    2. 1
    3. 3
    Correct choice
    1
  2. Question
    A direction cosine can be
    Choices
    1. greater than 1
    2. imaginary
    3. negative
    Correct choice
    negative
  3. Question
    To turn ratios a, b, c into cosines, divide by
    Choices
    1. √(a² + b² + c²)
    2. a + b + c
    3. abc
    Correct choice
    √(a² + b² + c²)

Explanation

l² + m² + n² = 1 is the single most quoted line of this chapter. Source: syllabus Maths Part II, Ch 11 Three Dimensional Geometry.
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