Question

Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-2, 2, -3), Q = (3, 7, 2), and R = (3, 7, 5).

Answer 1

Use the points to find two vectors, take the cross product of those vectors to get an orthogonal vector to the plane. Then normalize that vector.

Answer 2

So first find \(v\) and \(w\).
Then find \(u=v\times w\).
Then normalize \(u\) with \(u/\|u\|\)
Where \(\|u\| = \sqrt{u\cdot u}\)

Answer 3

@theone5526 What is left that you don't get?

Answer 4

@wio one second.. working through what youve given me right now

Answer 5

I got it thanks!

Answer 6

Prodigious.