Single Choice

If $$\overrightarrow{a}$$ and $$\overrightarrow{b}$$ two collinear vectors then which of the following are incorrect

A$$\overrightarrow{b}= \lambda \overrightarrow{a}$$ for some scalar
B$$\overrightarrow{a} = \pm \overrightarrow{b}$$
CThe respective components of $$\overrightarrow{a}$$ and $$\overrightarrow{b}$$ are proportional
DBoth the vectors $$\overrightarrow{a}$$ and $$\overrightarrow{b}$$ have same direction, but different magnitude.
Correct Answer

Solution

$$\vec a$$ and $$\vec b \rightarrow$$ Collinear Vector
$$\Rightarrow\vec { b } = \lambda \vec { a }$$
$$\vec { a } =\pm \vec { b }$$
$$\vec { a }$$ and $$\vec { b }$$ are proportional.
They are collinear.
They need not be in same direction.
Hence, the answer is Both the vactors $$\vec a$$ and $$\vec b$$ have same direction, but different magnitude.

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