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1.11 Vectors

1.11 Vectors

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Question 15

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]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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