20. Given a = [6, 5, 1], E = [3,5,1] and E = [8,5,2], find a) 13-5 [2 marks] b) 5i x E [2 marks] c) 6, the angle between 51' and E [3 marks] d) pTOjEE [3 marks] e) Are the vectors 15 and E coplanar? Show your answer algebraically. [3 marks] 21. If {I and 13 are collinear and the magnitude of 1'1 is 7 times the magnitude of 13, write an expression that represents the sum of {i and 13. [2 marks] 22. Determine the area of AABC with vertices A(2, 1,4), 3(3, 1, 1), and C(1, 0,2). [4 marks] 23. A ship is on a heading of 040" at 20 knots and a 2 knot current is flowing from 010. Determine the resultant velocity of the ship to 1 decimal place. [4 marks] Match the vector coordinates to each Cartesian vector. M A. [3, -4] D 4 B. [- 2, 6] B C. [4, 3] G Z D. [3, 2] H A N E. [5, 0] -4 2 0 2 4 x K C -2 -4 14. CD 15. JK 16. AB Match the magnitudes to their Cartesian vectors. A. 5 B. V10 U C. 10 2 R D. 2V2 IT E. 1 -4 -2 4 x V 2 PO X -4 W 17. TU 18. VW 19. RS