(5, 3)
x y
Plug in:
x + y = 8
5 + 3 = 8
8 = 8
Plug in:
17(5) + 17(3) = 8
85 + 51 = 8
136 = 8
Answer - No, (5, 3) is not a solution to this system of equations.
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
WHAT IS PERCENT DO THE PERCENT CHANT! SPREAD THIS
3/2. you but as y over x and subtract the y’s then the x’s so -2-4 over -1-3 = -6/-4= 3/2