Please answer. Solutions for 1-5 are only required the rest are okay to be left as a,b,c,d

Multiple Choice. 1 Mark Each. Students must show rough work in the white space near each question. Write clear CAPITAL letters in the blank provided for each question or simply circle the right answer. Note: For questions 1-5 use a = [1, -2, 3] and c = [1, -2, -2] _ 1. Determine la . c| a) 3 b ) - 1 c) 1 d) none of these 2. Determine la x c| a) [10, 5, 0] b) 5V5 c) V126 d) none of these 3. Express 3a - 2c using standard unit vectors. a) [1, -2, 13] b) 3i - 2j c) i- 2j + 13k d) none of these 4. What value of 0 is closest to the angle between a and c a) 850 b) 900 c) 950 d) 1000 5. Which is the best representation of c x a a) V126 b) V125 c) -5[2, 1, 0] d) [10, 5, 0] 6. Circle all the correct vector properties. (Write "none" if applicable.) a) wxu = -uxw b) -a . b= -[b . a| c) c . (dxe) = (cxd) .e 7. Vector a represents a vector with a magnitude of 25 km/h coming from the direction $40W. Circle all the vectors equivalent to the vector a (Note the 4 choices below are going "towards" the directions listed). a) N40E at 25 km/h b) $40W at -25 km/h c) $40W at 25 km/h d) N50E at 25 km/h 8. Find the best representation of the torque produced by a cyclist exerting a force F = [5, 4, 10]N on the shaft-pedal d = [2, 5, 5]cm long. a) 34.8 N . m b) [-30, -5, 17] c) 34.8 N . cm d) 1214 N . cm 9 . Determine m so that a = [2, 4, 6] and c = [4, m, 12] are perpendicular. a) m = 0 b) m = 20 c) m = 8 d) none of these 10. Find a unit normal to the vector d = [3, 4] _11. Which of the following functions will have a horizontal asymptote? a ) y = = ex+1 2* +5 b ) y = 1-3x2 4 x 2 + 5 c) both a and b d) neither a or b 12. State the equation of the oblique asymptote for y =- x2 - 5 x - 2 a) y = x+2 by=x-2 c)y=x-7 d) none of these 13. Which of the following functions will have an oblique asymptote? x3 -2 2x-3 a) y - 4x2+9 b ) y = x+2 c) both a and b d) neither a nor b