Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
1 Answer
-
The component form is found by:
vector PQ = Q – P <=> vector PQ = <6-5,9-8> <=>
vector PQ = <1,1>
the magnitude is then found by the formula:
|<x,y>| = √(x^2+y^2) <=> |<x,y>| = √1^2+1^2 <=>
|<x,y>| = √2