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4.11 Vectors (A-level only)

4.11 Vectors (A-level only)

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Question 39

An architectural designer is modeling a decorative glass panel in the shape of a parallelogram PQRSPQRSPQRS for a modern building facade. The vectors representing two adjacent sides are given as PQ⃗=6i+2j−3k\vec{PQ} = 6\mathbf{i} + 2\mathbf{j} - 3\mathbf{k}PQ​=6i+2j−3k and QR⃗=2i−4j+4k\vec{QR} = 2\mathbf{i} - 4\mathbf{j} + 4\mathbf{k}QR​=2i−4j+4k.

a.

Calculate the size of the interior angle PQRPQRPQR, giving your answer in degrees to 2 decimal places.

[5]
b.

Determine the surface area of the glass panel PQRSPQRSPQRS, giving your answer to one decimal place.

[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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