If aretwo collinear vectors- then which of the following are incorrect-A- -for some scalar -B- C-therespective components of areproportionalD-boththe vectorshavesame direction- but different magnitudes

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Standard XII

Physics

Vectors and Its Types

If aretwo col...

Question

If are two collinear vectors, then which of the following are incorrect:

A. , for some scalar λ

B.

C. the respective components of are proportional

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

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Solution

If are two collinear vectors, then they are parallel.

Therefore, we have:

(For some scalar λ)

If λ = ±1, then .

Thus, the respective components of are proportional.

However, vectors can have different directions.

Hence, the statement given in D is incorrect.

The correct answer is D.

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If are two collinear vectors, then which of the following are incorrect: A. , for some scalar λ B. C. the respective components of are proportional D. both the vectors have same direction, but different magnitudes

If are two collinear vectors, then they are parallel. Therefore, we have: (For some scalar λ) If λ = ±1, then . Thus, the respective components of are proportional. However, vectors can have different directions. Hence, the statement given in D is incorrect. The correct answer is D.

If are two collinear vectors, then which of the following are incorrect:

A. , for some scalar λ

B.

C. the respective components of are proportional

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

If are two collinear vectors, then they are parallel.

Therefore, we have:

(For some scalar λ)

If λ = ±1, then .

Thus, the respective components of are proportional.

However, vectors can have different directions.

Hence, the statement given in D is incorrect.

The correct answer is D.