Given that P = (5, 1) and Q = (13, 8), find the component form and magnitude of vector PQ.

Given that P = (5, 1) and Q = (13, 8)

The component form is

Vector PQ = Q - P

Vector PQ =

Vector PQ =

The magnitude vector is obtained by formula

| | = sqrt (x^2 + y^2)

| | = sqrt (8^2 + 7^2)

| | = sqrt (113)

| | = 10.63

Therefore the component vector is and magnitude of the vector is 10.63.