Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!



Question 150803: OP = <6,5>, OQ = <13, −2>, u = i − 3j and v = 3i − 2j. If PQ = ku + hv
where k and h are constant, find
a)k and h Hint: PQ = PO + OQ).
k & h already get answer k=1 & h=2....
b)Unit vector for PQ in terms of i and j??
: OP = <6,5>, OQ = <13, −2>, u = i − 3j and v = 3i − 2j. If PQ = ku + hv
where k and h are constant, find
a)k and h Hint: PQ = PO + OQ).
k & h already get answer k=1 & h=2....
b)Unit vector for PQ in terms of i and j??

Answer by Fombitz(1740) About Me  (Show Source):
You can put this solution on YOUR website!
a)k=1, h=2 is correct
b)PQ=(13-6,-2-5)=(7,-7)
To find the unit vector, find the magnitude of the vector and divide the vector by it.
abs(PQ)=sqrt((7)^2+(-7)^2)
abs(PQ)=sqrt(2(7)^2)
abs(PQ)=7*sqrt(2)
u[PQ]=PQ/abs(PQ)
u[PQ]=(7/(7*sqrt(2)),-7/(7*sqrt(2)))
u[PQ]=(1/(sqrt(2)),-1/(sqrt(2)))
u[PQ]=(sqrt(2)/2,-sqrt(2)/2)
u[PQ]=(sqrt(2)/2)i-(sqrt(2)/2)j