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Question

Mathematics Question on Three Dimensional Geometry

A=(1,2,3),B=(2,1,3),C=(4,2,1)A= (1, -2, 3), B = (2, 1, 3), C = (4, 2, 1) and G=(1,3,5)G = (-1, 3, 5) is the centroid of the tetrahedron ABCD. If p=Dyp= D_y and q=Dzq = D_z then 13p1.1q= 13p-1.1q =

A

0

B

1

C

-1

D

2

Answer

0

Explanation

Solution

(1+2+4+x4,2+1+2+y4,3+3+1+z4)\left(\frac{1+2+4+x}{4},\frac{-2 +1 +2 +y }{4},\frac{3+3+1+z}{4}\right) =(1,3,5)= (-1 ,3,5)