Consider the following vectors, u = −2i + 5j, v = 4i − 3j, w = i + 2j, (a) Find the vector a = 2u + v − 2w in vector form. (b) Find the magnitude and direction of a, measured counter-clockwise from the positive x-axis. Sketch a, clearly showing the magnitude and direction of the vector. (c) Find the vector projection of w onto v. (d) Find the area of the parallelogram with sides u and w.

Consider the following vectors, u = −2i + 5j, v = 4i − 3j, w = i + 2j, (a) Find the vector a = 2u + v − 2w in vector form. (b) Find the magnitude and direction of a, measured counter-clockwise from the positive x-axis. Sketch a, clearly showing the magnitude and direction of the vector. (c) Find the vector projection of w onto v. (d) Find the area of the parallelogram with sides u and w.