If 7 \overline{i}-4 \overline{j}+5 \overline{k} is the position vector of the vertex A of a tetrahedron A B C D and -\overline{ {\i}}+4 \overline{ {\j}}-3 \overline{ {\k}} is the position vector of the centroid of the triangle B C D, then the position vector of the centroid of the tetrahedron A B C D is

-\overline{ {\i}}+4 \overline{ {\j}}-3 \overline{ {\k}}

-\frac{1}{2} \overline{ {\i}}+4 \overline{ {\j}}-3 \overline{ {\k}}

\overline{ {\i}}+2 \overline{ {\j}}-\overline{ {\k}}

-\overline{ {\i}}-2 \overline{ {\j}}+\overline{ {\k}}

AP EAPCET 15th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 29 of 160

Marks: +1, -0

If 7i−4j+5k is the position vector of the vertex A of a tetrahedron ABCD and −i+4j−3k is the position vector of the centroid of the triangle BCD, then the position vector of the centroid of the tetrahedron ABCD is

−i+4j−3k
−‌
1
2
i+4j−3k
i+2j−k
−i−2j+k

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