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Question
If \[\vec{a}\] and \[\vec{b}\] are two non-collinear vectors such that \[x \vec{a} + y \vec{b} = \vec{0} ,\] then write the values of x and y.
Solution
We have,
\[x \vec{a} + y \vec{b} = \vec{0}\]
\[\Rightarrow x = 0\text{ and }y = 0\] [\[\because\] \[\vec{a}\] and \[\vec{b}\] are non-collinear vectors]
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