Find a vector which is orthogonal toP=(1,2,3)with respect toQ=(0,-2,-3)and normalize that vector.

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- Sep 14th 2009, 11:50 PMroshanheroVector space
Find a vector which is orthogonal to

**P=(1,2,3)**with respect to**Q=(0,-2,-3)**and normalize that vector. - Sep 15th 2009, 02:53 AMcourteous
What do you mean with

*"with respect to"*? Are you searching vector orthogonal to $\displaystyle \vec{PQ}$? - Sep 16th 2009, 12:02 AMroshanhero
No

- Sep 16th 2009, 06:11 AMHallsofIvy
Then please answer the question. What does "$\displaystyle \vec{u}$ orthogonal to $\displaystyle \vec{v}$

**with respect to**$\displaystyle \vec{w}$" mean? I know what it means for two vectors to be "orthogonal" but not "with respect to" a third vector. Could you possibly mean "orthogonal to**both**$\displaystyle \vec{u}$ and $\displaystyle \vec{v}$"? Or are you asking about the "Orthogonal projection of $\displaystyle \vec{v}$ on $\displaystyle \vec{w}$? - Sep 16th 2009, 06:21 AMmr fantastic
is standard notation for coordinates of points. So what yu have posted is qute ambiguous. Are we meant to assume that P is a vector given by <1, 2, 3> and Q is a vector given by <0, -2, -3>?

Also, I support the several requests for clarification of the question.