Question

how to find all unit vectors orthogonal to v=<3,4,0>.plss help me

Answer 1

if <x,y,z> is orthogonal to v. then it should satisfy following condition
3x+4y=0

example
<4,-3,6555>

Answer 2

tq :),but then the unit vectors?

Answer 3

For two vectors to be orthogonal, they need to have a dot product of 0. So your first vector <3,4,0> will be dotted with <x,y,z>. However, you want the unit vectors, so you have to turn <x,y,z> into unit vectors. To do that you simply divide the vector by its magnitude. So the unit vector is <x,y,z>/x^2+y^2+z^2. Now dotting your two vectors will yield, 3x/(x^2+y^2+z^2) +(4y/x^2+y^2+z^2)=0

Answer 4

tq so much spaceknight... :))