What is the Moment Produced by a Perpendicular Force on an Inclined Plane?

[NoobeAtPhysics]

Homework Statement

Force F acts perpendicular to the inclined plane ABC. Assume x0 = 2.32 m, y0 = 3.44 m, z0 = 2.94 m, and F = 459 N.
Determine the moment produced by F about point B; What are the x,y,z component.

Homework Equations

Cross Product

The Attempt at a Solution

A (0,0,2.94)
B (2.32,0,0)
C (0, 3.44,0)

rac = 3.44j -2.94k
rbc = -2.32i + 3.44j
rac x rbc = {10.1136,6.8208, 7.9808}

uf = [rab x rbc]/[magnitude]={0.693785,0.467901,0.547477}
F=459*uf = {318.545, 214.832, 251.112}
mb = rbc * F = {864.44, 582.997, -1593.75}

I am wrong. It has been hours. Any help would be great

 

[SteamKing]

What is the definition of a moment vector in terms of the force vector and the radius vector?

 

[NoobeAtPhysics]

Sorry can you explain further
thank you

 

[NoobeAtPhysics]

Can someone spot out what I did wrong?

 

[gildomar]

The Rab and Rbc vectors are right, and so is their cross product, as well as the unit vector in the direction of the force. But I got 318.447i + 214.766j + 251.292k for the force vector. Oddly enough, I got the same moment though. Is the x, y, and z components at the end supposed to be the answer?

 

[Chestermiller]

Shouldn't the moment be rbc x F?

 

[NoobeAtPhysics]

Yeah that's what i did but I'm always wrong

 

[NoobeAtPhysics]

And yes gildomar, the answer is the components

 

[NoobeAtPhysics]

Wow, nevermind. I actually got it right.. I just kept on putting N instead of N*m... I am never taking physics again.

thanks anyway