Knowledge/Understanding Multiple Choice: [18 Marks] 1. Determine a . b given thata = (2, -7) and b = (-3,6) a) -36 b) -48 c) 48 d) 36 2. 3(2u - 30) - 2(5 - 5u) -4u simplified is: a) 16u - 15p b) 4u - 30 c) -3u - 60 d) 16u - 11v 3. The function whose graph has a slant (oblique) asymptote is: 6x2 a) y=- x* -8x+9 x*-2 x3+5x by = = x4+5 c) y=. x3+x2-1 d) b and c 4. The derivative of y = sin(7x - 4) is: a) 7cos(7x - 4) b) -7cos(7x - 4) c) cos(7x - 4) d) (7x - 4)cos(7x - 4) 5. The conjugate of 2v7 - V3 is: a) V3 -2V7 b) - 2V7 + v3 c) V7 + v3 d) 2V7 + v3 6. In R', the standard basis (unit) vector, k can be expressed in component form as: a) (1, 0, 0) b) (0, 1, 0) c) (0, 0, 1) d) (1, 1, 1) 7. Evaluate the following limits: lim v4 + v25 + x X+0 a) 2 + v5 b) 3 c) +3 d) 7 8. The incorrect vector property is: a) atb =bta bax b = bxa c) a . b = b . a d)a - b = -bta 9. If a vector is described as an airplane flying North at 400km/h, then the opposite vector can be described as: a) An airplane flying North at -400km/h b) An airplane flying South at 400km/h c) An airplane flying South at 800km/h d) Both b and c 10. For u and v, if the sign of u . u is negative, then the angle between the tail to tail vectors will be: a) 0