P and Q are the points of trisection of the line segment AB . If 2 \overline{i}-5 \overline{j}+3 \overline{k} and 4 \overline{i}+\overline{j}-6 \overline{k} are the position vectors of A and B respectively, then the position vector of the point which divides P Q in the ratio 2: 3 is [TG EAPCET 10 May 2024 Shift 1]

Correct Answer is : 115(44i−33j−18k)

\frac{1}{15}(44 \overline{i}-33 \overline{j}-18 \overline{k})

\frac{1}{5}(36 \overline{i}-26 \overline{j}-18 \overline{k})

\frac{1}{5}(3 \overline{i}+7 \overline{j}-9 \overline{k})

\frac{1}{15}(-3 \overline{i}-7 \overline{j}+9 \overline{k})

Vector Algebra

Section: Mathematics

Question : 10 of 22

Marks: +1, -0

P and Q are the points of trisection of the line segment AB . If 2i−5j+3k and 4i+j−6k are the position vectors of A and B respectively, then the position vector of the point which divides PQ in the ratio 2:3 is

[TG EAPCET 10 May 2024 Shift 1]

‌‌
1
15
(44i−33j−18k)
‌‌
1
5
(36i−26j−18k)
‌‌
1
5
(3i+7j−9k)
‌‌
1
15
(−3i−7j+9k)

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