2 \overline{i}-3 \overline{j}+\overline{k} and \overline{i}+2 \overline{j}-3 \overline{k} are the position vectors of two points A and B respectively and C divides AB in the ratio 3: 2. If 3 \overline{i}-\overline{j}+2 \overline{k} is the position vector of a point D , then the unit vector in the direction of \overline{ {\CD}} is [TG EAPCET 11 May 2024 Shift 1]

Correct Answer is : 13√42(8i−5j+17k)

{1}/{7 \sqrt{2}}(8 \overline{i}-5 \overline{j}-3 \overline{k})

{1}/{\sqrt{266}}(4 \overline{i}-13 \overline{j}+9 \overline{k})

{1}/{3 \sqrt{42}}(8 \overline{i}-5 \overline{j}+17 \overline{k})

{1}/{7 \sqrt{2}}(8 \overline{i}-5 \overline{j}+3 \overline{k})

Vector Algebra

Section: Mathematics

Question : 3 of 22

Marks: +1, -0

2i−3j+k and i+2j−3k are the position vectors of two points A and B respectively and C divides AB in the ratio 3:2. If 3i−j+2k is the position vector of a point D , then the unit vector in the direction of CD is

[TG EAPCET 11 May 2024 Shift 1]

‌‌
1
7√2
(8i−5j−3k)
‌‌
1
√266
(4i−13j+9k)
‌‌
1
3√42
(8i−5j+17k)
‌‌
1
7√2
(8i−5j+3k)

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