Question

Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of vector PQ.

Answer 1

The answer above is missing the component form

The way to find Component form is by using V=<Q1-P1, Q2-P2>

P1=5

P2=9

Q1=13

Q2=12

V=<13-5,12-9>

V=<8,3>

The component form is <8,3>

Answer 2

To calculate for the magnitude of vector PQ, what needs to be done is to determine the distance between them through the two-point equation which is shown below.

d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the known values,
d = sqrt ((13 - 5)² + (12 - 9)²)
The value of d from the equation is sqrt of 73 or 8.54.

Therefore, the magnitude of the vector is equal to 8.54.