SOLUTION: Points P,Q have coordinates (-2,-1) and (3,11) respectively. Find |OP|,|OQ| and |OP + OQ| where O is the origin.

Algebra ->  Vectors -> SOLUTION: Points P,Q have coordinates (-2,-1) and (3,11) respectively. Find |OP|,|OQ| and |OP + OQ| where O is the origin.      Log On


   

Question 1127980: Points P,Q have coordinates (-2,-1) and (3,11) respectively. Find |OP|,|OQ| and |OP + OQ| where O is the origin.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Points P,Q have coordinates (-2,-1) and (3,11) respectively.
Find
|OP|,
|OQ| and
|OP + OQ| where O is the origin =>(0,0)
|OP| is distance between O and P=>(0,0) and (-2,-1)
OP=sqrt%28%28x-x%5B1%5D%29%5E2%2B%28y-y%5B1%5D%29%5E2%29

OP=sqrt%28%280-%28-2%29%29%5E2%2B%280-%28-1%29%29%5E2%29
OP=sqrt%282%5E2%2B1%5E2%29
OP=sqrt%285%29
OP=2.24


OQ=sqrt%28%28x-x%5B1%5D%29%5E2%2B%28y-y%5B1%5D%29%5E2%29....=>(0,0) and (3,11)
OQ=sqrt%28%280-3%29%5E2%2B%280-11%29%5E2%29
OQ=sqrt%28%28-3%29%5E2%2B%28-11%29%5E2%29
OQ=sqrt%289%2B121%29
OQ=sqrt%28130%29
OQ=11.4


|OP + OQ|=2.24%2B11.4=13.64