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. =)
The x,y = -6, -5. Hope this helped, and have a great day! :D
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form 
, where a is inversely proportional to b and k is constant of variation.
Our required equation would be 
.
To find frequency of blue light, we will substitute 
and 
in our equation as:
Therefore, the frequency of blue light is 764.
