Which expression is meaningless? a. axb x c b. (axb) . c c. (axb) . c d. (a - b) . c e. a . (b x c ) 2. The vector result of (1 - 2] + 3k) X(-21 + 2] - 2k) is [K /1] a. -i+ 7j b. - it j - k C. -1- J+ 3k d. j+ 7k e. -i+ 7k 3 The result of the following dot product (1 - 2j + 3k) . (-21 + 2j - 2k) is [K /1] a. -10 b. -6 C. 0 d. 10 e . 6 4. Which relation is incorrect: [K /1] a. 1 . j= 0 b. ix j = k c. ixi = 0 d. j. k = i e. 1. i = 15. A vector collinear to u = is: a. [K /1] b. d. C. e. 6. If u = and v = and u is orthogonal to v, then k is [K /1] a. -8 8 . 4.5 d. -4.5 e . 0 7 Which property of vectors is incorrect? [K /1] a. axb = -bx a b. (atb) + c= a+ (b+ c) c. a . (b + c ) = a+ (b+ c ) d. a . b = axb 8 Which vector is not orthogonal to u =? [K /11 a. b. C. d. 9 Given A(1, 3, -7) and B(0, 2, -4), the magnitude of AB is [K /1] a. V147 b. 3 C. VII d. 3.310. Vectors a, b, c are given below. Accurately draw the following vectors. [K /41 a. u = 3a - b + 0.5c [2] b. D = =b - 2a + c [2] C Applications 11. Consider the following vectors a = 2i + 3j and b = -21 + 3k and c = -31 + k Compute the required operations: [A /10] a . 4a . 2b [2] c. (axb) . c [2] b . la + ( b x c ) I [2] d. projc(a - b) e. [2] Angle between a and c [21Thinking & Inquiry 14. [4] List as many equal vectors as possible for the diagram below: B E 15. [4] A ramp is inclined at 120 to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N, at an angle of 10 to the surface of the ramp. Determine the mechanical work done against gravity. 16. [4] A parallelogram has an area of 200 cm2. The side lengths are 90 cm and 30 cm. Find the measures of the interior angles.12. Consider parallelogram ABCD where A(0, 1, 2), B(1, -2, 3), D(2, 1, 0) [A 18] a. Find angle LA [2] b. Find the area of triangle AABD [3] C. Find the angle between the diagonal AC and the side AB [3]Communication 2 13. [6] Describe all of the operations involved in (a . b) (a . c) - 2a . (b x c) Explain whether the final result will be a scalar or a vector