Question #14 Instructions: Show complete Marks: /6 (Knowledge & Understanding) workings and organize your work in a neat manner to achieve full marks. C. AB + DE Consider the following vectors as a basis set |z) =3 lal = 4.5 181=1 1600 d. DA - BA + BF then draw the resulting vectors, maintaining relative magnitude and orientation, for each of the following expressions i. atb + c ii. a - b - c iii. a - b -Section: B Knowledge Communication Thinking Application Question #12 Instructions: Show complete Marks: /5 (Knowledge & Understanding) & & workings and organize your work in Understanding Inquiry a neat manner to achieve full marks. VECTORS /50 18 0/0 Find ~ of the function x3 - 2xy + y' = 0. Question #13 Instructions: Show complete Marks: /8 (Knowledge & Understanding) workings and organize your work in a neat manner to achieve full marks. Consider the following regular hexagon with vertices labeled accordingly A B F C E D and write a single vector expression equivalent to each vector operation below a. FC + CD b. FA - FEQuestion #17 Instructions: Show complete Marks: /8 (Knowledge & Understanding) workings and organize your work in a neat manner to achieve full marks. Question #19 Instructions: Show complete Marks: /8 (Knowledge & Understanding) Calculate the dot product of each of the following vector pairs. workings and organize your work in a neat manner to achieve full marks. a. u = [3, 5] and v = [-4, -7] Given thee basis set of vectors a = [-7, -2, 7] b = [0, 1, -3] C = [5, -1, 4] simplify each of the following expressions a. 5a - 4b + 2c b. 10 6-L |al = 70 60 1b'| = 45 b. a . b Question #18 Instructions: Show complete Marks: /5 (Knowledge & Understanding) workings and organize your work in a neat manner to achieve full marks. Determine the projection of the vector u onto u where lu) =78 and ju = 78.Question #1!) Instructions: Show complete Marks: f5 {Communication} working: and organize your work in a neat manner to achieve full marks. Consider the vector equation for the line given the direction veetor = [4, If] and a point on the line P(1, 1). Question #11 Instructions: Show complete Marks: f3 {Communication} working: and organize your work in a neat manner to achieve full marks. Determine the eealar equation of a plane given its normal [4, 5, T] and a point on the plane P(6, -?, 8). Question #15 Instructions: Show complete Marks: /6 (Knowledge & Understanding) Question #16 Instructions: Show complete Marks: /9 (Knowledge & Understanding) workings and organize your work in workings and organize your work in a neat manner to achieve full marks. a neat manner to achieve full marks. Given that two forces |F1| = 65 N and |F2) = 135 N are Express each of the following vectors in the form [a, b] acting at 120 degrees to each other. Determine the magnitude a. -41 + 8j of their resultant force as well as its direction relative to F1. b. 9i + 7j c. -13j