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Earn +20 ptsQ: When are two vectors equal and when are identical?
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When are two vectors said to be equal?
If two vectors are represented by the same magnitude and direction they are said to be equal.
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
The vector sum of three vectors gives a resultant equal to zero What can you say about the vectors?
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Can the sum of the magnitudes of two vectors ever b equal to the the sum of these two vectors?
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
Can the sum of two equal vectors be equal to either of the vectors?
Only if one of them has a magnitude of zero, so, effectively, no.
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