If vector a and vector b are two collinear vectors, then which of the following are incorrect: A. b = λa, for some scalar λ

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asked Jan 24, 2018 in Mathematics by sforrest072 (157,439 points) 63 458 1439
edited Mar 7, 2018 by Vikash Kumar
If  vector a and vector b are two collinear vectors, then which of the following are incorrect:
A. b = λa,  for some scalar λ

B. a=b

C. the respective components of a and b  are proportional

D. both the vectors a and b  have same direction, but different magnitudes

1 Answer

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answered Jan 24, 2018 by mdsamim (213,225 points) 5 10 28
edited Mar 7, 2018 by Vikash Kumar
 
Best answer

If vector a and vector b  are two collinear vectors, then they are parallel.
Therefore, we have:

Hence, the statement given in D is incorrect.
The correct answer is D.

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