If $\rm \vec A = 4\hat i +3\hat j+ \hat k$ and $\rm \vec B = 2\hat i -\hat j+2 \hat k$, then the unit vector N̂ perpendicular to the vectors $\rm \vec A$ and $\rm \vec B$, such that $\rm \vec A$, $\rm \vec B$ and N̂ form a right handed system, is:

Question

If $\rm \vec A = 4\hat i +3\hat j+ \hat k$ and $\rm \vec B = 2\hat i -\hat j+2 \hat k$, then the unit vector N̂ perpendicular to the vectors $\rm \vec A$ and $\rm \vec B$, such that $\rm \vec A$, $\rm \vec B$ and N̂ form a right handed system, is:

TuteeHUB · Accepted Answer

$\rm \frac{1}{7}\left(6\hat{i}+2\hat{j}+3\hat{k}\right)$

TuteeHUB · Answer

$\rm \frac{1}{\sqrt{185}}\left(7\hat{i}-6\hat{j}-10\hat{k}\right)$

TuteeHUB · Answer

$\rm \frac{1}{\sqrt{21}}\left(2\hat{i}+4\hat{j}-\hat{k}\right)$

TuteeHUB · Answer

$\rm \frac{1}{\sqrt{21}}\left(-2\hat{i}-4\hat{j}+\hat{k}\right)$

1.	If \(\rm \vec A = 4\hat i +3\hat j+ \hat k\) and \(\rm \vec B = 2\hat i -\hat j+2 \hat k\), then the unit vector N̂ perpendicular to the vectors \(\rm \vec A\) and \(\rm \vec B\), such that \(\rm \vec A\), \(\rm \vec B\) and N̂ form a right handed system, is:
A.	\(\rm \frac{1}{\sqrt{185}}\left(7\hat{i}-6\hat{j}-10\hat{k}\right)\)
B.	\(\rm \frac{1}{7}\left(6\hat{i}+2\hat{j}+3\hat{k}\right)\)
C.	\(\rm \frac{1}{\sqrt{21}}\left(2\hat{i}+4\hat{j}-\hat{k}\right)\)
D.	\(\rm \frac{1}{\sqrt{21}}\left(-2\hat{i}-4\hat{j}+\hat{k}\right)\)
Answer» B. \(\rm \frac{1}{7}\left(6\hat{i}+2\hat{j}+3\hat{k}\right)\)

If \(\rm \vec A = 4\hat i +3\hat j+ \hat k\) and \(\rm \vec B = 2\hat i -\hat j+2 \hat k\), then the unit vector N̂ perpendicular to the vectors \(\rm \vec A\) and \(\rm \vec B\), such that \(\rm \vec A\), \(\rm \vec B\) and N̂ form a right handed system, is:

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