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.
