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4.11 Vectors (A-level only)

4.11 Vectors (A-level only)

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Question 4

Relative to a fixed origin OOO, the point A A\,A has position vector (2i−j+5k)(2\mathbf{i} - \mathbf{j} + 5\mathbf{k})(2i−j+5k), the point B B\,B has position vector (5i+2j+k)(5\mathbf{i} + 2\mathbf{j} + \mathbf{k})(5i+2j+k), and the point C C\,C has position vector (i+aj+3k)(\mathbf{i} + a\mathbf{j} + 3\mathbf{k})(i+aj+3k), where a a\,a is a constant and a>0a > 0a>0. D D\,D is the point such that AB⃗=BD⃗\vec{AB} = \vec{BD}AB=BD.

a.

Find the position vector of DDD.

[2]
b.

Given that ∣AC⃗∣=21|\vec{AC}| = \sqrt{21}∣AC∣=21​, find the value of aaa.

[3]
Markscheme

4.11 Vectors (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.11 Vectors (A-level only)

133 exam-style questions on WJEC A Level Maths 4.11 Vectors (A-level only), covering 4.11.1 Vectors (A-level only) and 4.11.2 Vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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