If |{overrightarrow V ₁} + {overrightarrow V ₂}|, = ,|{overrightarrow V ₁} - {overrightarrow V

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3-1.Vectors

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If $|{\overrightarrow V _1} + {\overrightarrow V _2}|\, = \,|{\overrightarrow V _1} - {\overrightarrow V _2}|$ and ${V_2}$ is finite, then

A

${V_1}$ is parallel to ${V_2}$

B

${\overrightarrow V _1} = {\overrightarrow V _2}$

C

${V_1}$ and ${V_2}$ are mutually perpendicular

D

$|{\overrightarrow V _1}|\, = \,|{\overrightarrow V _2}|$

Solution

(c) According to problem $|{\vec V_1} + {\vec V_2}|\; = \;|{\vec V_1} – {\vec V_2}|$

$⇒$ $|{\vec V_{{\rm{net}}}}|\; = \;|{\vec V'_{{\rm{net}}}}|$

So ${V_1}$ and ${V_2}$ will be mutually perpendicular.

Standard 11

Physics

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