Let A B C D be a parallelogram and 2 \overline{ {\i}}+\overline{ {\j}}, \overline{ {\i}}+5 \overline{ {\j}}+4 \overline{ {\k}} and -\overline{ {\i}}-4 \overline{ {\j}}-3 \overline{ {\k}} be the position vectors of the vertices A, B, D respectively. Then the position vector of one of the point of trisection of the diagonal {\AC} is

Correct Answer is : 13(5i+2j+k)

\frac{1}{3}(5 \overline{ {\i}}+2 \overline{ {\j}}-\overline{ {\k}})

\frac{1}{3}(5 \overline{ {\i}}+2 \overline{ {\j}}+\overline{ {\k}})

\frac{1}{3}(5 \overline{ {\i}}+4 \overline{ {\j}}+\overline{ {\k}})

\frac{1}{3}(\overline{3} \overline{ {\i}}+2 \overline{ {\j}}+\overline{ {\k}})

AP EAPCET 19th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 29 of 160

Marks: +1, -0

Let ABCD be a parallelogram and 2i+j, i+5j+4k and −i−4j−3k be the position vectors of the vertices A,B,D respectively. Then the position vector of one of the point of trisection of the diagonal AC is

‌
1
3
(5i+2j−k)
‌
1
3
(5i+2j+k)
‌
1
3
(5i+4j+k)
‌
1
3
(3i+2j+k)

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