Two vectors are given by u=3i^−j^+2k^ and v=−i^+4j^+k^. Answer the following:
(a) Write, in vector form only, an expression for the area of the parallelogram having u and v as its adjacent sides.
(b) Hence calculate the numerical value of this area, correct to two decimal places.
(c) Determine the area of the triangle formed by the same two vectors.