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Question

Mathematics Question on Vector Algebra

If A(1,2,3) B(3,7,-2) and D(-1,0,-1) are points in a plane, then the vector equation of the line passing through the centroids of △ABD and △ACD is

A

r = (2i - j) + (j + 4k)

B

r = (1 + t)i +3j + 3tk

C

r = (2i +3j + 3k) +t(i + 3j)

D

r = (i + j + k) + t(2i - j)

Answer

r = (1 + t)i +3j + 3tk

Explanation

Solution

The correct option is: (B) r = (1 + t)i +3j + 3tk