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If a vector is multiplied by a scalar:
  • a)
    Then its magnitude is increased by the square root of that scalar’s magnitude
  • b)
    Then its magnitude is increased by the square of that scalar’s magnitude
  • c)
    Then its magnitude is increased by amount of that scalar’s magnitude
  • d)
    You cannot multiply the vector with a scalar
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If a vector is multiplied by a scalar:a)Then its magnitude is increase...
If a vector is multiplied by a scalar then its magnitude is increased by amount of that scalar’s magnitude. When multiplied by a negative scalar it going to change the directional sense of the vector.
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Most Upvoted Answer
If a vector is multiplied by a scalar:a)Then its magnitude is increase...
That statement is incorrect. When a vector is multiplied by a scalar, its magnitude is multiplied by the absolute value of that scalar. The square root of the scalar has no direct effect on the magnitude of the vector.
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If a vector is multiplied by a scalar:a)Then its magnitude is increased by the square root of that scalar’s magnitudeb)Then its magnitude is increased by the square of that scalar’s magnitudec)Then its magnitude is increased by amount of that scalar’s magnituded)You cannot multiply the vector with a scalarCorrect answer is option 'C'. Can you explain this answer?
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