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If $\vec{c}$ is the unit vector perpendicular to both the vectors
$\overrightarrow{\text { a and }} \overrightarrow{\mathrm{b}}$, then what is another unit vector perpendicular
to both the vectors a and $\overrightarrow{\mathrm{b}}$ ?
Options:
$\overrightarrow{\text { a and }} \overrightarrow{\mathrm{b}}$, then what is another unit vector perpendicular
to both the vectors a and $\overrightarrow{\mathrm{b}}$ ?
Solution:
1740 Upvotes
Verified Answer
The correct answer is:
$\frac{(\vec{a} \times \vec{b})}{|\vec{a} \times \vec{b}|}$
Let $\vec{c}$ is the unit vector perpendicular to both the
vectors $\vec{a}$ and $\vec{b}$.
So, A unit vector which is perpendicular to both the
vectors $\vec{a}$ and $\vec{b}$ is $\frac{(\vec{a} \times \vec{b})}{|\vec{a} \times \vec{b}|}$
vectors $\vec{a}$ and $\vec{b}$.
So, A unit vector which is perpendicular to both the
vectors $\vec{a}$ and $\vec{b}$ is $\frac{(\vec{a} \times \vec{b})}{|\vec{a} \times \vec{b}|}$
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