area of triangle in inclined plane

GTK X Hunter · #1 $Old$ October 29th, 2009, 10:55 AM

Given an inclined plane with inclination angle $\omega$ (sharp angle) and center $O$ .
Let points P $(x_0,y_0)$ and Q $(x_1,y_1)$ be in quadrant I. Determine the area of triangle OPQ !

CaptainBlack · #2 $Old$ October 30th, 2009, 07:01 AM

Quote:

Originally Posted by GTK X Hunter $View Post$

Given an inclined plane with inclination angle $\omega$ (sharp angle) and center $O$ .
Let points P $(x_0,y_0)$ and Q $(x_1,y_1)$ be in quadrant I. Determine the area of triangle OPQ !

Convert to vectors in 3-D and use half the absolute value of the cross product of the vectors.

CB

HallsofIvy · #3 $Old$ October 30th, 2009, 09:08 AM

Quote:

Originally Posted by GTK X Hunter $View Post$

Given an inclined plane with inclination angle $\omega$ (sharp angle) and center $O$ .
Let points P $(x_0,y_0)$ and Q $(x_1,y_1)$ be in quadrant I. Determine the area of triangle OPQ !

Inclined with angle $\omega$ relative to what? An uninclined plane? And what is the "center" of a plane? Are points P and Q in the inclined plane or in the "uninclined" plane? Is O the origin? In which plane is the coordinate system?