Given the vectors a = 4 i + 3 j and b = 3 i + 4 j , evaluate the magnitude of a .

Step-by-step solution

Given vector a = 4 i + 3 j The magnitude of the vector is given by | a | = x^2 + y^2 Substituting the components x = 4 and y = 3 : | a | = 4^2 + 3^2 | a | = 16 + 9 | a | = 25 = 5