2. u, , u are non-parallel vectors in R3. Write out the expression for the following objects using only vector operations (vector addition, scalar multiplication, dot and cross products). Magnitude, or absolute value can be used as appropriate. (a) area of parallelogram formed by and v. b) volume of the parallelpiped formed by u, and w. (c) work effected by force , (d) a vector perpendicular to both u and B. with displacement vector . (e) a vector parallel to w. (f) the orthogonal projection of ï onto w. (g) a vector parallel to the line of intersection of 2 planes, where the planes are respectively normal to u and i
