Quote:

Find two vectors in opposite directions that are orthogonal to the vector: .$\displaystyle \left\langle \frac{1}{2},\:-\frac{2}{3}\right\rangle$

Solution: Two vectors are orthogonal if they are perpendicular.

Therefore, a vector $\displaystyle \vec{v} \,=\,\langle x,y\rangle$ is orthogonal to $\displaystyle \vec{u}$ if:

. . $\displaystyle \langle x,\,y\rangle\cdot\left\langle\frac{1}{2},\,-\frac{2}{3}\right\rangle \;=\;\frac{1}{2}x - \frac{2}{3}y \;=\;0$

now I have to find values of x and y that makes 0 ? . . . . yes!

I am stuck here ...plz help? not getting right ans....

. . *What* is given as "the right answer" ?