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1.10 Vectors

1.10 Vectors

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Question 68

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

1.10 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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