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1.13 J: Vectors

1.13 J: Vectors

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Question 43

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 PQ→=6i+2j−3k\overrightarrow{PQ} = 6\mathbf{i} + 2\mathbf{j} - 3\mathbf{k}PQ​=6i+2j−3k and QR→=2i−4j+4k\overrightarrow{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

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

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