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1 Pure Mathematics

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Question 247

Two vectors a\mathbf{a}a and b\mathbf{b}b are such that ∣a∣=3|\mathbf{a}| = 3∣a∣=3 and ∣b∣=5|\mathbf{b}| = 5∣b∣=5.

The angle between a\mathbf{a}a and b\mathbf{b}b is 60°60°60°.

a.

Find the exact value of ∣a+b∣|\mathbf{a} + \mathbf{b}|∣a+b∣.

[3]
b.

Find the angle between a+b\mathbf{a} + \mathbf{b}a+b and a\mathbf{a}a, giving your answer to 1 decimal place.

[3]
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1 Pure Mathematics Questions

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

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