SOLUTION: . Find the components of a vector with the initial point P1 (-4, 0) and the terminal point P0 (5, -6). Find the magnitude and direction of the vector U = <10, 8> Find the dot

Algebra ->  Trigonometry-basics -> SOLUTION: . Find the components of a vector with the initial point P1 (-4, 0) and the terminal point P0 (5, -6). Find the magnitude and direction of the vector U = <10, 8> Find the dot      Log On


   

Question 860617: . Find the components of a vector with the initial point P1 (-4, 0) and the terminal point P0 (5, -6).
Find the magnitude and direction of the vector U = <10, 8>
Find the dot product of U = <5, 1> and V = <-7, -5>
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.(5-(-4),-6-0)=(9,-6)
2. abs%28V%29=sqrt%2810%5E2%2B8%5E2%29=sqrt%28164%29=2sqrt%2841%29
tan%28theta%29=8%2F10
theta=tan%5E%28-1%29%284%2F5%29
theta=38.7 degrees
3. (5,1)*(-7,-5)=5(-7)+1(-5)=-35-5=-40