Q2) A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u = i – 2j, v = 2i + 3j, and w = i + j. Write u = u, + u, where...

Extracted text: Q2) A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u = i – 2j, v = 2i + 3j, and w = i + j. Write u = u, + u, where u, is parallel to v and uz is parallel to w. (See Exercise 41.) %3D B) Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the air- plane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. Q3) Rectangle Find the measures of the angles between the diago- nals of the rectangle whose vertices are A = (1, 0), B = (0, 3), C = (3, 4), and D = (4, 1). II Q4) Triangle Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C = (1,-2).