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प्रश्न
If \[\vec{a,} \vec{b}\] are two vectors, then write the truth value of the following statement:
\[\vec{a} = - \vec{b} \Rightarrow \left| \vec{a} \right| = \left| \vec{b} \right|\]
उत्तर
True.
\[\vec{a} = - \vec{b} \]
Taking modulus on both sides of the equation, we get,
\[\left| \vec{a} \right| = \left| - \vec{b} \right|\]
\[\left| \vec{a} \right| = \left| \vec{b} \right|\] [ ∵ \[\left| - \vec{b} \right| = \left| \vec{b} \right|\]]
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