SOLUTION: a)Find the unit vector from the point P=(3,1) and toward the point Q=(18,9) b)Find a vector of length 34 pointing in the same direction.

Algebra ->  Vectors -> SOLUTION: a)Find the unit vector from the point P=(3,1) and toward the point Q=(18,9) b)Find a vector of length 34 pointing in the same direction.      Log On


   



Question 1006089: a)Find the unit vector from the point P=(3,1) and toward the point Q=(18,9)
b)Find a vector of length 34 pointing in the same direction.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The vector from P to Q is (18-3,9-1)=(15,8).
To unitize it, divide by its magnitude.
abs%28PQ%29=sqrt%2815%5E2%2B8%5E2%29=sqrt%28225%2B64%29=sqrt%28289%29=17
(15%2F17,8%2F17)
.
.
.
Multiply the unit vector by 34.
34(15%2F17,8%2F17)=(%2834%2F17%2915,%2834%2F17%298)=(30,16)