- 1 Which Of The Following Vectors Is Equivalent To 50 553 E A 30 40 B 40 30 C 40 30 D 40 30 2 Wh 1 (55.22 KiB) Viewed 5 times
- 1 Which Of The Following Vectors Is Equivalent To 50 553 E A 30 40 B 40 30 C 40 30 D 40 30 2 Wh 2 (16.81 KiB) Viewed 5 times
1. Which of the following vectors is equivalent to 50 [553°E]? a. [-30,40] b. [40, -30] c. [-40, 30] d. [-40, -30] 2. Which of the following vectors is not collinear with the others? a. [-3,7] b. [6,-14] c. [-30, 70] d. [9, 21] 3. Determine the result of the dot product: [3,-4] [2,5] a. [6, -20] b. 14 C. -14 d. 26 4. Which of the following expressions involving dot product and cross product cannot be evaluated? a. (a.b) × (d.d) c. (a. b) + (ĉ. d) d. (axb). (¿xd) b. (axb) x (exd) 5. Albert is pushing his broken-down car. He pushed with a force of 8000 N at an angle of 10° to the horizontal to move the car 20 metres. How much work has Albert done? a. 75175 Nm. b. 160000 Nm c. 27784 Nm d. 157569 Nm 6. Determine the result of the cross product: [1, -2,3] x [-4,5,-6] b. [3, 6, 3] c. [27,-18, 13] a. [-3, -6, -3] d. [7,-8, 9] 7. Determine the angle between the vectors [1, 2, 3] and [4, 5, 6] a. 15.2° b. 12.9 c. 13.1 d. 0.97 8. For what value(s) of k are the two vectors [k, 2, 3] and [1, k, -2] perpendicular to each other? a. k = 2 and -2 b. k=2 c. k=-2 k=3 9. Choose the vector equation of a line through the point (4, 7) with direction vector m = [1, 5). a. (x, y) = [1, 5] + t[4, 7] c. (x, y] H [4, 7) + t[-5, 1) b. (x, y) = [1, 5] + t[-7,4] d. [x, y] [4, 7] + t(1, 5] 10. Which of the following is a scalar equation of the line with vector equation [x, y] [1, 3] + t[-1, -2]? a. 2x+y+1=0 b. x+2y-1=0 6.2x-y+1=0 d. x-2y+1=0
11. Which of the following is a vector equation of the line 2x - y = 7? a. [x, y] [4, 3] + t[1, 2] b. [x, y] = [2, 7] + [2, 4] 12. Which of the following does not have a normal of [1, 1, 1]? a. [x, y, z) = [2, 3, 1] + [-2, 3, -1] b. [x, y, z] [19, 12, 7] + t[-4, 5, -2] c. [x, y] = [4, 1] + t[2, -1] d. [x, y] = [5, 3] + t[-3, -6] c. [x, y, z) = [4, 0, 1] + t[1, 0, -1] d. [x, y, z]= [0, 0, 0] + [13, -7, -6]