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Can two vectors of unequal magnitude add up to give the zero vector?
Wiki User
∙ 14y ago
No.
The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
Wiki User
∙ 14y ago
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When Two vectors have unequal magnitude can their sum be zero explain reason?
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
Can two vectors of same magnitude add to give zero resultant vector?
Yes.
Can three vectors of unequal magnitude add up to give the zero vector?
Yes. There are an infinite number of ways to do that. One way is: (5 pounds north) plus (3 pounds north) plus (8 pounds south).
If two vector have equal magnitudes can their sum be zero Explain?
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
When Two vectors have unequal magnitude can their sum be zero explain reason?
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
Can two vectors of same magnitude add to give zero resultant vector?
Yes.
Can three vectors of unequal magnitude add up to give the zero vector?
Yes. There are an infinite number of ways to do that. One way is: (5 pounds north) plus (3 pounds north) plus (8 pounds south).
Can three vectors of equal magnitude be combined to give a zero resultant?
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Can two vectors having different magnitude be combined to give a vector sum of zero?
No. Three can, but two need to cancel out exactly, meaning they must have the same magnitude in opposite directions.
What does the addition of 2 vectors give you?
a resultant vector
Is it possible to combine two unequal vectors to give a zero resultant?
No.
