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 \[\vec{a}\] ?

 

Answer 1

Given: \[\vec{a}\]  is a vector and \[m\]  is a scalar such that, \[m \vec{a} = \vec{0}\]
Then either \[m = 0\]  or,  \[\vec{a} = \vec{0}\]