This exam contains 4 pages and 4 problems. Enter all requested information on the top of this page. You are required to Show your work on each problem on this test. 2 1 1. Consider the vectors u = l and v = 2 1 1 (a) (2 points) Find the angle between u and v. (b) (2 points) Find the projection of 11 onto v, i.e. nd projv(u). (c) (2 points) Give both the vector form, and parametric equations for the plane in R3 which passes through the point (0, *6, 1) and is parallel to the vectors u and v. -6 2. Let u = and w = , where a, b, cER. (a) (1 point) Compute u . v. (b) (1 point) Find |lu - vil. (c) (1 point) Find a unit vector that points in the same direction as u. (d) (2 points) Find the cross product, u x v. (e) (1 point) Compute u . w. (f) (1 point) Find thatMATH 1350 Test 4 - Page 3 of 4 6/5/2020 3. (a) (1 point) State the Triangle Inequality for R\". (b) (5 points) Verify the Triangle Inequality for the vectors, u = 4 6 3/2 5 I *1 0 v: 7/4 \\//2 9