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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.
Can two vectors having different magnitude be combined to give a vector sum of zero?
Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.
What is useful of vectors in physics?
Vectors in physics are useful for representing physical quantities with both magnitude and direction, such as force, velocity, and acceleration. They allow for the accurate description of motion and interactions in three-dimensional space. By using vectors, physicists can easily perform vector addition, subtraction, and multiplication to analyze complex systems.
When two vectors are acting at a point along different directions how do we determine magnitude and direction of the resultant?
To find the magnitude and direction of the resultant vector, you can use the parallelogram law of vector addition. Add the two vectors together to form a parallelogram, then the diagonal of the parallelogram represents the resultant vector. The magnitude can be calculated using trigonometry, and the direction can be determined using angles or components.
Under what condition the sum of three vectors will be zero?
The sum of three vectors will be zero if they can form a closed triangle when arranged tip-to-tail. This means the vectors must have magnitudes and directions that cancel each other out to form a closed loop with no resultant vector.
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.
What can be used to represent the direction and strengh of a force?
A vector can be used to represent the direction and strength of a force. The magnitude of the force is indicated by the length of the vector and the direction of the force is represented by the orientation of the vector.
How do you represent vectors graphically?
Vectors can be represented graphically using arrows. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction in which the vector is pointing. Vectors can also be represented by coordinates in a coordinate system.
