Position vectors and magnitude
Exercise and reference answers
- Questions
- Question
- Magnitude of the position vector of P(x, y, z)
- Choices
- √(x² + y² + z²)
- x + y + z
- x² + y² + z²
- Correct choice
- √(x² + y² + z²)
- Question
- The scalar components of a vector are also its
- Choices
- direction cosines
- direction ratios
- magnitudes
- Correct choice
- direction ratios
- Question
- Direction cosines are obtained from ratios by dividing by
- Choices
- the largest component
- 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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