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4.11 Vectors (A-level only)

4.11 Vectors (A-level only)

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Question 12

Relative to a fixed origin OOO, the point A A\,A has position vector (i+6j+4k)(\mathbf{i} + 6\mathbf{j} + 4\mathbf{k})(i+6j+4k), the point B B\,B has position vector (−2i+3j+k)(-2\mathbf{i} + 3\mathbf{j} + \mathbf{k})(−2i+3j+k), and the point C C\,C has position vector (2i+5j+ak)(2\mathbf{i} + 5\mathbf{j} + a\mathbf{k})(2i+5j+ak), where a a\,a is a constant and a>4a > 4a>4. 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∣=11|\vec{AC}| = \sqrt{11}∣AC∣=11​, 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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