Vectors subject worksheet

1. A plane takes off with a velocity of 550 km/h at an angle of 20 to the horizontal. How fast is the plane rising? How fast is it moving forward? 2. Given u = and v = - 7 + 2k determine the following. a) The vector 2u b) u + 27 - 3v c) |ul (Exact) d) The angle u makes with the z-axis. (Nearest degree). e) The vector f) Sketch vector u. 3. Quick Hitters. The u and v represent vectors. a) If u = kv, then state three true statements about u and v. b) If u lies in the x-z plane, what do we know about u? c) If u is parallel to the y-axis, what do we know about u? 4. A parallelogram ABCD has vertices A(-1, 2, -1), B(3, 2, -1), C(x, y, z) and D(-3, 1, -3). Determine: a) The coordinates of vertex C. b) The angle at A. (Nearest degree) (Hint: What do you notice about vector AB?) c ) The area of ABCD. (One decimal) (Hint: You can do this with simple geometry or use the skills of Unit 7, Week 2)