Two vectors having same magnitude are collinear

True

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False

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Ambiguous

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Data insufficient

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Solution

The correct option is B False
Given statement is "False".
As collinear vectors are those vectors that are parallel to the same line.
Here, $\to a$ and $\to b$ are equal in magnitude but not parallel, so not collinear.

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Q. Answer the following as true or false. (i) and are collinear. (ii) Two collinear vectors are always equal in magnitude. (iii) Two vectors having same magnitude are collinear. (iv) Two collinear vectors having the same magnitude are equal.

Answer the following as true or false:
(i) a and -a are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.

Q. Answer the following as true or false.
(i)

\to a

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- \to a

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(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.

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(iii) Two vectors having same magnitude are collinear.

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Two vectors having same magnitude are collinear

The correct option is B FalseGiven statement is "False".As collinear vectors are those vectors that are parallel to the same line.Here,→a and →b are equal in magnitude but not parallel, so not collinear.

The correct option is B False
Given statement is "False".
As collinear vectors are those vectors that are parallel to the same line.
Here, $\to a$ and $\to b$ are equal in magnitude but not parallel, so not collinear.