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Which of the following is true?

This question was previously asked in
AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 1)
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  1. Two vectors having same magnitude are collinear
  2. Two collinear vectors are always equal in magnitude 
  3. Two collinear vectors having the same magnitude are equal
  4. \(\overrightarrow a \) and \(-\overrightarrow a \) are collinear

Answer (Detailed Solution Below)

Option 4 : \(\overrightarrow a \) and \(-\overrightarrow a \) are collinear
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Detailed Solution

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Explanation:

Option 1 ) Two vectors are collinear only if they are parallel to the same line whether their magnitudes and directions are the same or not.   FALSE

Option 2 ) Two collinear vectors don't necessarily have the same magnitudes.   FALSE

Option 3 ) Collinear vectors are parallel to the same line but may be opposite in directions hence may be unequal.  FALSE

Option 4 ) \(\overrightarrow a \)and -\(\overrightarrow a \) are opposite in directions but parallel to the same line, hence collinear.   TRUE

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