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Angle between Two Lines

If two vector...

Question

If two vectors $v$ and $w$ are parallel, then $| v - w | =$

A

v - w

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B

w - v

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C

| v | - | w |

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D

None of these

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Solution

The correct option is D None of these
For example,
Let $v =< 1, 0, 0 >$ and $w = - < 1, 0, 0 >$
Then,
$v - w =< 2, 0, 0 >$ , which has length $2$ .
On the other hand,
$v$ and $w$ both have length $1$ , so
$| v | - | w | = 0$

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