Answer:
Step-by-step explanation:
Given : P = (5, 8) and Q = (6, 9)
To find: the component form and magnitude of vector PQ.
Solution: It is given that P = (5, 8) and Q = (6, 9).
The component form of the vector PQ is given as:
[tex]Vector PQ=Q-P[/tex]
[tex]Vector PQ=<6-5,9-8>[/tex]
[tex]Vector PQ=<1,1>[/tex]
The magnitude of vector PQ is given as:
[tex]|<x,y>|=\sqrt{x^2+y^2}[/tex]
[tex]|<x,y>|=\sqrt{(1)^2+(1)^2}[/tex]
[tex]|<x,y>|=\sqrt{2}[/tex]
[tex]|<x,y>|=1.414[/tex]
Thus, the component form of the vector PQ is [tex]Vector PQ=<1,1>[/tex] and the magnitude form is [tex]|<x,y>|=1.414[/tex].
