# Thread: area of triangle in inclined plane

1. ## 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 !

2. 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

3. 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?

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### formula for area of inclined triangle

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