How to Determine Orthogonal Vectors

[AOXX24]

Hey guys,

I have searched all over the forum but each thread seems to have a different way of solving this problem.

I have changed the values from the coursework question so I can work it out for myself so here is an example one, I hope someone can give me some advice/steps on how to work it out.

Find out whether vector v = [− 3, −5, −4]T is orthogonal to the plane containing points
A(-8,4,5), B(-3,8,4) and C(8,-2-1).

I know what I need to use ax + by + cz = 0, I'm just unsure of how to work it out. :)

 

[CEL]

A vector is orthogonal to a plane if it is orthogonal to two non parallel vectors in that plane.
Form the vectors AB and AC and verify if v is orthogonal to both.

 

[AOXX24]

will do , thank you :)