KNOWLEDGE AND UNDERSTANDING [20 marks] Part A Multiple Choice [7 marks] 1. [-4, -3, 1] expressed in terms of the unit vectors i, j and k is: A 47 + 3j + k B -47 - 37 + k C -47+3j-k D-47+3j 2. 97 - j+ 11k expressed as a Cartesian vector is: A [9, 0, 11] B [9, 1, 11] C9 -j+ 11k D [9, -1, 11] 3. Which property of vectors is incorrect? A a . b = axb a . ( b+c ) = a bta . c C ( a +b )+c=a+(b+c) D axb=-bxq 4. Which vector is not orthogonal to u = [-6, 8]? A [8, 6] B [- 8, 6] C [- 4, 3] D [-4, -3] 5. A vector that is orthogonal to both a and b is: A axb Bab C both A and B D None of A, B, and C 6. Given that A(1, 3, -7) and B(0, 2, -4), the exact magnitude of AB is: A V147 B 3 C 3.3 D V11 7. The vectors u = [-2, a, 7] and v = [b, 6, 21] are collinear if: A a = 6 and b = -2 Ba = 3 and b = 6 Ca = 2 and b = -6 Da = 7 and b = 3