# area of triangle in inclined plane

• Oct 29th 2009, 08:55 AM
GTK X Hunter
area of triangle in inclined plane
Given an inclined plane with inclination angle $\displaystyle \omega$ (sharp angle) and center $\displaystyle O$.
Let points P $\displaystyle (x_0,y_0)$ and Q $\displaystyle (x_1,y_1)$ be in quadrant I. Determine the area of triangle OPQ !
• Oct 30th 2009, 05:01 AM
CaptainBlack
Quote:

Originally Posted by GTK X Hunter
Given an inclined plane with inclination angle $\displaystyle \omega$ (sharp angle) and center $\displaystyle O$.
Let points P $\displaystyle (x_0,y_0)$ and Q $\displaystyle (x_1,y_1)$ 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
• Oct 30th 2009, 07:08 AM
HallsofIvy
Quote:

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

Inclined with angle $\displaystyle \omega$ 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?