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Question:
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If $\vec{a}$ and $\vec{b}$ are two collinear vectors then which of the following are incorrect:
(a) $\vec{b}=\lambda \vec{a}$, for some scalar $\lambda$.
(b) $\vec{a}=\pm \vec{b}$
(c) the respective components of $\vec{a}$ and $\vec{b}$ are proportional.
(d) both the vectors $\vec{a}$ and $\vec{b}$ have same direction, but different magnitudes.
(a) $\vec{b}=\lambda \vec{a}$, for some scalar $\lambda$.
(b) $\vec{a}=\pm \vec{b}$
(c) the respective components of $\vec{a}$ and $\vec{b}$ are proportional.
(d) both the vectors $\vec{a}$ and $\vec{b}$ have same direction, but different magnitudes.
Solution:
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Verified Answer
Options (d) is incorrect since both the vectors $\vec{a}$ and $\vec{b}$, being collinear, are not necessarily in the same direction. They may have opposite directions. Their magnitudes may be different.
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