First slide

Introduction to 3-D Geometry

Question

If equation 6x+3y-22 = 18 represents the equation of plane in the space then the centroid of triangle ABC where A, B, C are the points of intersection of the planes with the coordinate axes are

Moderate

A

(1,2,-3)
B

(-1,2,3)
C

(-1, -2,-3)
D

(1, -2,3)

Solution

We have plane 6x + 3Y - 2z = 18.
Coordinates of ,A , B, C ate, respectively, (3, 0, 0), (0, 6, 0) and (0, 0, -9).
Thus, centroid of $∆ A B C$ is $(\frac{3}{3}, \frac{6}{3}, \frac{- 9}{3})$ or (1,2, -3).

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