Let $\vec {a} = 3{\rm{\hat i}} + 2{\rm{\hat j}} + 2{\rm{\hat k\;and\;\vec b}} = {\rm{\hat i}} + 2{\rm{\hat j}} - 2{\rm{\hat k}}$ be two vectors. If a vector perpendicular to both the vectors $\overrightarrow {a} + {\rm{\vec b\;and\;}}\overrightarrow {a} - {\rm{\vec b}}$ has the magnitude 12 then one such vector is:

Question

Let $\vec {a} = 3{\rm{\hat i}} + 2{\rm{\hat j}} + 2{\rm{\hat k\;and\;\vec b}} = {\rm{\hat i}} + 2{\rm{\hat j}} - 2{\rm{\hat k}}$ be two vectors. If a vector perpendicular to both the vectors $\overrightarrow {a} + {\rm{\vec b\;and\;}}\overrightarrow {a} - {\rm{\vec b}}$ has the magnitude 12 then one such vector is:

TuteeHUB · Accepted Answer

$4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}} \right)$

TuteeHUB · Answer

$4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} + {\rm{\hat k}}} \right)$

TuteeHUB · Answer

$4\left( {2{\rm{\hat i}} - 2{\rm{\hat j}} - {\rm{\hat k}}} \right)$

TuteeHUB · Answer

$4\left( { - 2{\rm{\hat i}} - 2{\rm{\hat j}} + {\rm{\hat k}}} \right)$

1.	Let \(\vec {a} = 3{\rm{\hat i}} + 2{\rm{\hat j}} + 2{\rm{\hat k\;and\;\vec b}} = {\rm{\hat i}} + 2{\rm{\hat j}} - 2{\rm{\hat k}}\) be two vectors. If a vector perpendicular to both the vectors \(\overrightarrow {a} + {\rm{\vec b\;and\;}}\overrightarrow {a} - {\rm{\vec b}}\) has the magnitude 12 then one such vector is:
A.	\(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} + {\rm{\hat k}}} \right)\)
B.	\(4\left( {2{\rm{\hat i}} - 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\)
C.	\(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\)
D.	\(4\left( { - 2{\rm{\hat i}} - 2{\rm{\hat j}} + {\rm{\hat k}}} \right)\)
Answer» C. \(4\left( {2{\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}} \right)\)

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