This is Calculus course especially about vectors. I need help with some questions. I also attached formula sheet in case you need it as a reference.

1. Calculate the following using these vectors: where k is your birth-month a = [2, 1, 0] k = 9 b = [1, -1, 5] C = [6, 1, -2] d = [k, -2, 1] a. atb b. 2a - d c. a . b + c . d d. The angle between a and b e. axb f. A unit vector perpendicular to a and d g. d . (axb) proJa onto b i. projc onto d j. The unit vector of c k. la - 2b| 1. axc9. Parallelogram PQRS has vertices P(1,3,1), Q (4,1, -2), S(-2,3, -5). Determine: [8K] a. the coordinates of vertex R c. unit vector of PS Fy 5- 2 ). is 5 d. the magnitude of PS b. the angle at vertex QFormulas: a . b = lal|b|cose |axb = lallb|sine a a = lal scalar proja onto b = lalcose vector proja onto b = lalcose W = |d| |F|cose IT| = 171/F/sine Area of a paralellogram = lax b|