Question:
Give $\vec{P} = 2 \hat{i} - 3 \hat{j} + 4 \hat {k}$ and $\vec{Q} = \hat{j} - 2 \hat {k} $ The magnitude of their resultant is.
Give $\vec{P} = 2 \hat{i} - 3 \hat{j} + 4 \hat {k}$ and $\vec{Q} = \hat{j} - 2 \hat {k} $ The magnitude of their resultant is.
Updated On: Sep 8, 2024
- $\sqrt {3} $
- $2\sqrt {3} $
- $3 \sqrt {3}$
- $4\sqrt{3} $
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The Correct Option is B
Solution and Explanation
$|\vec{P}+\vec{Q}|=|2 \hat{i}-3 \hat{j}+4 \hat{k}+\hat{j}-2 \hat{k}|$
$ = |2 i-2 \hat{j}+2 \hat{k}|$
$=\sqrt{2^{2}+2^{2}+2^{2}}=2 \sqrt{3}$
$ = |2 i-2 \hat{j}+2 \hat{k}|$
$=\sqrt{2^{2}+2^{2}+2^{2}}=2 \sqrt{3}$
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