Keep in mind that I am a grade 12 student and I need grade 12 calculus solutions. Thanks

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 4/ + j + 3k and i - 2j + 5k. b). Given v = [3,-1, -2], determine the integer components of u such that u x u = [4,2,5] and |ul = 3. 3. Given a, b, c are vectors in R3, such that ( x b) . a = -4, determine a . [(b + c) 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 - c