MathCastle
Multivariable CalculusHardVectors in Space

Vectors in Space · Hard problem

A parallelogram-shaped kite is braced by two rigid ribs represented by vectors u\mathbf u and v\mathbf v, with ∥u∥=6\lVert\mathbf u\rVert = 6 ft, ∥v∥=5\lVert\mathbf v\rVert = 5 ft, and the angle θ\theta between the ribs satisfying cos⁡θ=13\cos\theta = \tfrac13. Find the area of the kite's sail (the parallelogram spanned by the ribs).