Vectors help??

If a=(1,3) b=(4,6) c=(6,-2).





What is the unit vector in direction a+b+c?





I think I know the answer but i just want to check. Thanks.

Vectors help??
The vector itself is found by adding all the x and y terms together





Resultant Vector - (1+4+6,3+6-2) ---%26gt; (11,7)





Then the unit vector means divide out by its length. You want a unit vector, in other words a vector with length 1.





So the length of vector (11,7) is sqrt(11^2+7^2) = sqrt(121+49) = sqrt(170)





So the unit vector is (11/sqrt(170) , 7/sqrt(170))