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Position vectors and magnitude

Exercise and reference answers

Questions
  1. Question
    Magnitude of the position vector of P(x, y, z)
    Choices
    1. √(x² + y² + z²)
    2. x + y + z
    3. x² + y² + z²
    Correct choice
    √(x² + y² + z²)
  2. Question
    The scalar components of a vector are also its
    Choices
    1. direction cosines
    2. direction ratios
    3. magnitudes
    Correct choice
    direction ratios
  3. Question
    Direction cosines are obtained from ratios by dividing by
    Choices
    1. the largest component
    2. 3
    3. the magnitude r
    Correct choice
    the magnitude r

Explanation

The position vector of P(x, y, z) has magnitude √(x² + y² + z²). Source: syllabus Maths Part II, Ch 10 Vector Algebra.
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