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 = < 13 - 5 , 8 - 1 >

Vector PQ = < 8 , 7 >

The magnitude vector is obtained by formula

| < x , y > | = sqrt (x^2 + y^2)

| < x , y > | = sqrt (8^2 + 7^2)

| < x , y > | = sqrt (113)

| < x , y > | = 10.63

Therefore the component vector is < 8 , 7 > and magnitude of the vector is 10.63.

answer: 48

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investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: