If \overrightarrow{a} is a vector of magnitude 50 , collinear with the vector \overrightarrow{b}=6 \stackrel{\^}{i}-8\stackrel{\^}{j}-15/2 \stackrel{\^}{k} and makes an acute angle with the positive direction of Z - axis, then \overrightarrow{a} is equal to

Correct Answer is : −24^i+32^j+30^k

-24 {{\i}}^{\^}+32 {{\j}}^{\^}+30 {{\k}}^{\^}

24 {{\i}}^{\^}-32 {{\j}}^{\^}-30 {{\k}}^{\^}

-12 {{\i}}^{\^}+16 {{\j}}^{\^}-15 {{\k}}^{\^}

12 {{\i}}^{\^}-16 {{\j}}^{\^}-15 {{\k}}^{\^}

BITSAT 2021 Paper

Section: Mathematics

Question : 145 of 150

Marks: +1, -0

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is a vector of magnitude 50 , collinear with the vector

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−8

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and makes an acute angle with the positive direction of Z - axis, then

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is equal to

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