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4.11 Vectors (A-level only)

4.11 Vectors (A-level only)

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Question 40

Relative to a fixed origin OOO:

  • the point AAA has position vector 1i+2j−k1\mathbf{i} + 2\mathbf{j} - \mathbf{k}1i+2j−k
  • the point BBB has position vector 3i−2j+7k3\mathbf{i} - 2\mathbf{j} + 7\mathbf{k}3i−2j+7k

The line lll passes through AAA and BBB.

a.

(i) Find AB→\overrightarrow{AB}AB. (ii) Find a vector equation for the line lll.

[3]
b.

The point CCC has position vector 9i+0j+1k9\mathbf{i} + 0\mathbf{j} + 1\mathbf{k}9i+0j+1k. The point PPP lies on lll. Given that CP→\overrightarrow{CP}CP is perpendicular to lll:

Find the position vector of the point PPP.

[5]
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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