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Question
If \[\vec{a}\] is a vector and m is a scalar such that m \[\vec{a}\] = \[\vec{0}\], then what are the alternatives for m and \[\vec{a}\] ?
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Solution
Given: \[\vec{a}\] is a vector and \[m\] is a scalar such that, \[m \vec{a} = \vec{0}\]
Then either \[m = 0\] or, \[\vec{a} = \vec{0}\]
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