Grade 12 high school solutions please

MCV 4U Date: Assignment 2 - Vector Products 1. Given a and 6, with la + 6| = v3, determine (2a - 56) . (6 + 3a). 2. a). Determine a unit vector that is perpendicular to both 47 + j + 3k and i - 2j + 5k. b). Given D = [3, -1, -2], determine the integer components of i such that v x u = [4,2,5] and jul = 3. 3. Given a, b, c are vectors in R3, such that ( x b) . a = -4, determine a . [(b + 2) x (c + a)]. 4. Suppose a, b, & are distinct, non-zero vectors. Prove that a x b = a x c when a is collinear with b - 2