HW 1: Vectors (50 points) Problem 1 (10 points) For a given vectors (a), (b), (c), (d), (e) 2 points each a == 1 b:= 3 -2 Calculate (a) Summation of vectors (b) Subtraction of vectors (c) Multiplication of a vector by a scalar (d) Scalar (dot) product of vectors (e) Are vectors a and b orthogonal? (Yes or No) Problem 2 (10 points) For a vector A=2i+3j+4k find: (a) Vector magnitude |A| (a) (d) 1 point (b) (e) 2 points (c) (f) 2 points (b) Directional cosines 1 = cos(a) m=cos $() n = cos(y) (c) Directional angles a, , y in degrees