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Test for Collinearity of Vectors

If a⃗ and ...

Question

If $\to a$ and $\to b$ are two collinear vectors, then which of the following are incorrect:

A

\to b = λ \to a

for some scalar

λ

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B

\to a = \pm \to b

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C

The respective components of

\to a a n d \to b

are not proportional

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D

Both the vectors

\to a

and

\to b

have same direction, but different magnitudes.

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Solution

The correct option is A $\to b = λ \to a$ for some scalar $λ$
According to the definition
if two vectors are collinear then
$^b = λ^a$
it is for vector not scalar

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