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When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Are all unit vectors equal?
No. Their magnitudes are equal (that's why they're "unit" vectors), but their directions are different.
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 the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
No, the magnitudes of the sum of two vectors are generally greater than or equal to the sum of the magnitudes of the individual vectors. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, which applies to vector addition as well.
When are the magnitudes of two vectors equal to zero?
When they are equal in magnitude but opposite in direction.
When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?
When the vectors are parallel, i.e. both have the same direction.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
Can A plus B equal zero when A and B have nonzero magnitudes?
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
What are the conditions for two vectors to add to zero?
They need equal magnitudes and opposite directions.
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.
What is the minimum number of vectors with equal magnitudes whose vector sum can be zero?
Two is the minimum number of vectors that will sum to zero.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
