what is the sum in unit-vector notation of two vectors a=5i+3j & b=-3i+2j? what are the magnitude & direction of a+b ?

a = 5i + 3jb = -3i + 2jDirection of vector:a + b = [5+(-3)]i + [3+2]j = [5-3]i + [3+2]j = 2i + 5jIf you draw it on Cartesian co-ordinate system, it will have a positive gradient and will be going in a "North-east" directionModulus of vector:|a + b| = √[(2^2) + (5^2)] = √[4 + 25] = √29