Thread: Gr 12. Vector Question Involving Dot Product of Two Vectors(Part 2)

I don't know if I'm being abusive posting another thread so let me know if there is a limit on how much question/threads I can post a day in this forum or any other thanks! But I got another tricky question, much more trickier!

Find a unit vector that is parallel to the xy-plane and perpendicular to the vector 4i - 3j + k (4, -3, 1)

So how would I go about doing this questions? Thanks

Originally Posted by narutoblaze

I don't know if I'm being abusive posting another thread so let me know if there is a limit on how much question/threads I can post a day in this forum or any other thanks! But I got another tricky question, much more trickier!

Find a unit vector that is parallel to the xy-plane and perpendicular to the vector 4i - 3j + k (4, -3, 1)

So how would I go about doing this questions? Thanks

Let the sought vector be The two vectors must be orthogonal, so



But is parallel to the -plane, so we must also have



Substituting, that means Choose an arbitrary pair of numbers that satisfy the equation to get a vector , and then find the unit vector in the same direction.

Thanks Reckoner your the best and I could understand it!
I have another question hope you'll be able to answer it too!