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1.10 Vectors

1.10 Vectors

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Question 95

The points AAA, B B\,B and C C\,C have position vectors

a=2i+j−3k\mathbf{a} = 2\mathbf{i} + \mathbf{j} - 3\mathbf{k}a=2i+j−3k, b=5i−2j+k\mathbf{b} = 5\mathbf{i} - 2\mathbf{j} + \mathbf{k}b=5i−2j+k, c=−i+4j+5k\mathbf{c} = -\mathbf{i} + 4\mathbf{j} + 5\mathbf{k}c=−i+4j+5k

a.

Find ∣AB⃗∣\left|\vec{AB}\right|​AB​ and ∣AC⃗∣\left|\vec{AC}\right|​AC​, giving each answer in exact form.

[3]
b.

The point D D\,D is such that ABDC ABDC\,ABDC is a parallelogram. Find the position vector of DDD.

[3]
Markscheme

1.10 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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