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Zero Vector

can a zero ve...

Question

can a zero vector and and non-zero vector can be collinear?

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Solution

Dear student
$The answer is No, ie a zero vector and a non zero vector cannot be collinear . We know that Collinear vectors have same or parallel supports . The two non zero vectors \vec{a} and \vec{b} are collinear iff there exist non zero scalars x and y such that x \vec{a} + y \vec{b} = \vec{0}$
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