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Q19  If are two collinear vectors, then which of the following are incorrect:
(A) \vec b = \lambda \vec a for some saclar \lambda 
(B) \vec a = \pm \vec b
(C) the respective components of \vec a \: \:and \: \: \vec bare not proportional
(D) both the vectors \vec a \: \:and \: \: \vec b have same direction, but different magnitudes.

Answers (1)

best_answer

If two vectors are collinear then, they have same direction or are parallel or anti-parallel.
Therefore,
They can be expressed in the form \vec{b}= \lambda \vec{a} where a and b are vectors and  \lambda is some scalar quantity.

Therefore, (a) is true.
Now, 
(b)  \lambda is a scalar quantity so its value may be equal to \pm 1 

Therefore,
 (b) is also true.

C)   The vectors  and  are proportional,
Therefore, (c) is not true.

D)  The vectors  and  can have different magnitude as well as different direction.

Therefore, (d) is not true.

Therefore,   the correct options are (C) and (D).

Posted by

Pankaj Sanodiya

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