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Question

Shortest Distance between 2 straight lines is 0 unless they are parallel.

A
True
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B
False
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Solution

The correct option is B False
If the given vectors are on the same plane then the above statement is true. But as no condition is mentioned we cannot assume they are on the same plane. So the general case to deal is when lines are aligned anyway in 3d. In this case the lines either intersect or do not intersect. If they don’t intersect they are called SKEW lines. SKEW lines need not necessarily be parallel all the time. So the answer for a general case is false.

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