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1 Unit 1: Pure Mathematics A

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Question 77
45%
a.

Two non-zero vectors, a\mathbf{a}a and b\mathbf{b}b, are such that

∣a+b∣=∣a∣+∣b∣ |\mathbf{a} + \mathbf{b}| = |\mathbf{a}| + |\mathbf{b}| ∣a+b∣=∣a∣+∣b∣

Explain geometrically the significance of this statement.

[1]
b.

Two different vectors, m\mathbf{m}m and n\mathbf{n}n, are such that ∣m∣=5|\mathbf{m}| = 5∣m∣=5 and ∣m+n∣=7|\mathbf{m} + \mathbf{n}| = 7∣m+n∣=7 The angle between vector m\mathbf{m}m and vector n\mathbf{n}n is 30∘30^{\circ}30∘

Find the angle between vector m\mathbf{m}m and vector m−n\mathbf{m} - \mathbf{n}m−n, giving your answer in degrees to one decimal place.

[4]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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