If \gamma_1=3 {\bo {i}}^{∧}+ {\bo {j}}^{∧}-4 {\bo {k}}^{∧} and \gamma_2=2 {\bo {i}}^{∧}+5 {\bo {j}}^{∧}+8 {\bo {k}}^{∧} are any two vectors then the unit vector parallel to \gamma_2-\gamma_1 is

Correct Answer is : −∧i+4∧j+12∧k√161

{- {\bo {i}}^{∧}+2 {\bo {j}}^{∧}+13 {\bo {k}}^{∧}}/{\sqrt{174}}

{ {\bo {i}}^{∧}+4 {\bo {j}}^{∧}-12 {\bo {k}}^{∧}}/{\sqrt{161}}

{ {\bo {i}}^{∧}-2 {\bo {j}}^{∧}+13 {\bo {k}}^{∧}}/{\sqrt{174}}

{- {\bo {i}}^{∧}+4 {\bo {j}}^{∧}+12 {\bo {k}}^{∧}}/{\sqrt{161}}

CGPET 2022 Solved Paper

Section: Mathematics

Question : 107 of 150

Marks: +1, -0

If γ1=3‌

∧

+‌

∧

−4‌

∧

and γ2=2‌

∧

+5‌

∧

+8‌

∧

are any two vectors then the unit vector parallel to γ2−γ1 is

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