Two vectors are defined as a = 4 i + 3 j and b = 3 i + 4 j . Determine the magnitude of a - b .

Step-by-step solution

Given vectors are a = 4 i + 3 j and b = 3 i + 4 j . The difference between the two vectors is given by: a - b = (4 i + 3 j ) - (3 i + 4 j ) a - b = (4 - 3) i + (3 - 4) j = i - j The magnitude of the resultant vector is: | a - b | = (1)^2 + (-1)^2 | a - b | = 1 + 1 = 2