Skip to content

Course home

1.11 Vectors

1.11 Vectors

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 44

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

1.11 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.

Question bank