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.
Calculate the size of the interior angle PQRPQRPQR, giving your answer in degrees to 2 decimal places.
Determine the surface area of the glass panel PQRSPQRSPQRS, giving your answer to one decimal place.
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
