If position vectors of A and B are 2 {\bo {i}}^{∧}- {\bo {j}}^{∧}+ {\bo {k}}^{∧} and {\bo {i}}^{∧}+ {\bo {j}}^{∧}- {\bo {k}}^{∧}, then the position vector of point P dividing A B in the ratio 3: 4 is

Correct Answer is : None of these

{ {\bo {i}}^{∧}-9 {\bo {j}}^{∧}+ {\bo {k}}^{∧}}/{7}

{ {\bo {i}}^{∧}+ {\bo {j}}^{∧}- {\bo {k}}^{∧}}/{7}

{9 {i}- {\bo {j}}↖\hat{∧}+ {\bo {k}}^{∧}}/{7}

CGPET 2022 Solved Paper

Section: Mathematics

Question : 127 of 150

Marks: +1, -0

If position vectors of A and B are 2‌

∧

−‌

∧

+‌

∧

and ‌

∧

+‌

∧

−‌

∧

, then the position vector of point P dividing AB in the ratio 3:4 is

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