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Can three vectors of unequal magnitude add up to give the zero vector?
Wiki User
∙ 9y ago
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).
Wiki User
∙ 9y ago
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Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
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.
Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?
Yes, if the three vectors are starting from the same point and are directed at 120 degrees between each two 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.
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.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
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.
Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?
Yes, if the three vectors are starting from the same point and are directed at 120 degrees between each two vectors.
Under what condition the sum of three vectors will be zero?
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
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.
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.
Is it is possible to add three vectors of equal magnitude and get zero?
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Can the resultant of three vectors be zero also define is it possible for two vectors?
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
Can three vectors of different magnitude be combined to give a zero resultant and can three vectors?
Yes.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
