Assessment as Learning Chapter 7 MCV4U 5 . a) Determine the projection of i on v. 1. You are given the vector = [5, -1]. 12 = 5 ) State the vertical and horizontal vector Y50 components of v. 101=1 b) Find two unit vectors that are collinear with v. () An equivalent vector PQ has its initial point at P(-2, -7). Determine the coordinates of Q. d) An equivalent vector LM has its terminal b) Determine the projection of d = [2, -3] on a= [1, 4]. point at M(5, 8). Determine the coordinates of L. 2 . A person pushes a lawnmower with a force of 250 N. The handle makes an angle of 350 6 . Determine the angle between vector PQ and with the ground. Write this force in component the positive x-axis, given endpoints P(4, 7) and Q(8, 3). form as a Cartesian vector. 3. 7. Calculate the dot product for each pair of Are the vectors it = [6, -2, -5] and vectors. 0 is the angle between the vectors D = [-12, 4, 10] collinear? Explain. when they are placed tail to tail. Round answers to one decimal place. a) [#| = 6, 17 |= 10, 0=30 b) |31 = 30, |7 | = 15, 0= 120 8. Give a geometric interpretation to each set of vectors. 4. Determine the value of k so that it = [2, 5] and a) [0, 2, 0] [0, 5, 0] [0, -3, 0] D = [k, 4] are perpendicular. Page 2 of 4