Knowledge/Understanding Multiple Choice: ! 1. If u = [2,3, 4] and v = [-7,-6, -5] find 2u - 30 a) [9, 9, 9] b) [-17, -12, -7] c) [25, 24, 23] d) [25, -12, 9] 2. If u = [2,3, 4] and v = [-7, -6, -5] find | 2u - 37 + 5j | a) V2525 b) V1995 c) V625 d) v588 3. If u = [2,3, 4] and v = [-7, -6, -5] find u . a) [-14, -18, -20] b) -27 c) [-9, -9, -9] d) -52 4. If u = [2,3, 4] and v = [-7, -6, -5] find w orthogonal to both u & v a) [9, -18, 9] b) V486 c) [-14, -18, -20] d) [9, 9, 9] 5. If lu = 4, |v = 7 and the angle between these vectors is 147 then u . v is: a) 15.2 b ) 23.5 c) -15.2 d) -23.5 6. If lu = 4, |v = 7 and the angle between these vectors is 147 then u X v is: a) 15.2 b) 23.5n c) 15.2n d) -23.5 7. Simplify: 3u + 4v - 8(u - 20 ) a) -5u + 20 b) -5u + 20D c) 4u + 20 d) -5u + 6710. Write OP = (2, 1, -3) using standard unit vectors. a) 2% + j 37 b) 2% + 7 + 37 ) 2T+ -3k Write 0@ =(0, -2, 0) using standard unit vectors. T2 +k b) 2f ) X27+2 write 0Q = 7j 6k in component form. a) [7,-6] b) [1,7,-6] c) [7.6] 11. Find N, where M = (5, 9, -3) and MN = 3[2,3,4] |3 Marks] Communication True or False: | d) 2T+7+ 3k d) 27 d} [0' ?: _6] 12. The addition of two opposite vectors results in a zero vector. 13. The multiplication of a vector by a negative scalar will result in a zero vector. 14. Linear combinations of vectors can be formed by adding scalar multiples of two or more vectors. 15. If two vectors are orthogonal then their cross product equals zero. 16. The dot product of two vectors always results in a scalar. 17. You cannot do the dot product crossed with a vector (U - V) X W