If C-A-B- then the magnitude of B is

Here in this problem, we are given with magnitude and direction of two vectors. Also, nbsp;C=A+B ⇒ B=C A And, the angle between the vectors is 90^∘, so |B|= ...

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Byju's Answer

Standard XIII

Physics

Vector Addition

If C=A+B, the...

Question

If $\to C = \to A + \to B$ , then the magnitude of $\to B$ is

6 \sqrt{5} N

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3 \sqrt{5} N

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5 \sqrt{5} N

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4 \sqrt{5} N

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Solution

The correct option is C $5 \sqrt{5} N$
Here in this problem, we are given with magnitude and direction of two vectors.
Also, $\to C = \to A + \to B$
$\Rightarrow \to B = \to C - \to A$

And, the angle between the vectors is $90^{\circ}$ , so
$| \to B | = \sqrt{{| \to C |}^{2} + {| - - \to - A |}^{2}} = \sqrt{10^{2} + 5^{2}}$
$\Rightarrow | \to B | = 5 \sqrt{5} N$

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If →C=→A+→B, then the magnitude of →B is

The correct option is C 5√5 N Here in this problem, we are given with magnitude and direction of two vectors. Also, →C=→A+→B ⇒ →B=→C−→A And, the angle between the vectors is 90∘, so |→B|=√|→C|2+|−−→−A|2=√102+52 ⇒ |→B|=5√5 N

If $\to C = \to A + \to B$ , then the magnitude of $\to B$ is