Let \overrightarrow{a}=3 \stackrel{\^}{i}+2 \stackrel{\^}{j}+2 \stackrel{\^}{k} and \overrightarrow{b}= \stackrel{\^}{i}+2 \stackrel{\^}{j}-2 \hat{k} be two vectors. If a vector perpendicular to both vectors \overrightarrow{a}+ \overrightarrow{b} and \overrightarrow{a}- \overrightarrow{b} has the magnitude 12 then one such vector is: [12 Apr 2019 Shift 1]

Correct Answer is : 4(2 ^i−2^j− ^k)

4(2 \stackrel{\^}{i}+2 \stackrel{\^}{j}+ \stackrel{\^}{k})

4(-2 \stackrel{\^}{i}-2 \stackrel{\^}{j}+ \stackrel{\^}{k})

4(2 \stackrel{\^}{i}+2 \stackrel{\^}{j}- \stackrel{\^}{k})

4(2 \stackrel{\^}{i}-2 \stackrel{\^}{j}- \stackrel{\^}{k})

Vector Algebra Part 1

Section: Mathematics

Question : 36 of 100

Marks: +1, -0

Let

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and

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−2‌hat‌k be two vectors. If a vector perpendicular to both vectors

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and

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−

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has the magnitude 12 then one such vector is:

[12 Apr 2019 Shift 1]

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