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1.11 Vectors

1.11 Vectors

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Question 51

A specialized solar sail component is designed in the shape of a parallelogram PQRSPQRSPQRS. The positions of the vertices are measured relative to a central docking hub. The displacement vector from vertex P P\,P to vertex Q Q\,Q is given by PQ⃗=2i+10j−11k\vec{PQ} = 2\mathbf{i} + 10\mathbf{j} - 11\mathbf{k}PQ​=2i+10j−11k and the displacement vector from vertex Q Q\,Q to R R\,R is given by QR⃗=−6i+3j+2k\vec{QR} = -6\mathbf{i} + 3\mathbf{j} + 2\mathbf{k}QR​=−6i+3j+2k.

a.

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

[4]
b.

Calculate the total surface area of the solar sail component PQRSPQRSPQRS, giving your answer to one decimal place.

[3]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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