0
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Wiki User
∙ 13y ago
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 = x
Squaring both sides
x2 + x2 + x2 = x2
2x2=0
The above expression is only solvable for x = 0
Hence the answer to the above equation is no, unless both vectors are the zero vector.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
7
Can two vectors of unequal magnitude add up to give the zero vector?
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.
What is the rule for adding vectors?
The general rule for adding vectors is to hook them together "head to tail" and then draw in a resultant vector. The resultant will have the magnitude and direction that represents the sum of the two vectors that were added.
How do you add two or more vectors?
Vectors are represented by arrows. They represent something that has magnitude, expressed by the length of the arrow, and direction shown by the direction the arrow head points away from the reference system. Vector addition is really quite simple. Make sure all vectors of interest use the same units of magnitude. Pick a vector and place the tail of the arrow on the intersection of the reference system. Do not change it's direction or magnitude. Take the next vector you wish to add and place the tail at the tip of the arrow of the first vector. Again, do not change either direction or magnitude. Do this with all vectors you wish to add. Remember, NEVER CHANGE MAGNITUDE OR DIRECTION. When you draw a new vector from the origin of the reference to the tip of the last vector in the chain of vectors being added, the new vector is the sum of all the vectors in the chain.
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.
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
Adding vectors that act in the opposite direction?
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
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.
What is the Minimum number of vectors with unequal magnitudes whose vector sum can be zero?
The minimum number of vectors with unequal magnitudes whose vector sum can be zero is two. These vectors must have magnitudes and directions that cancel out when added together to result in a zero vector sum.
What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?
It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.
If is added to under what conditions does the resultant vector have a magnitude equal to A B?
1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com
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 are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
how are vectors added head to tail?
Vectors are added head to tail by placing the tail of the second vector at the head of the first vector. The resultant vector points from the tail of the first vector to the head of the second vector, forming a triangle. The length and direction of the resultant vector are determined by the magnitudes and directions of the original vectors.
What operation gives s resultant vector?
Vector addition is the operation that gives a resultant vector when two or more vectors are added together. The resultant vector represents the combination of the individual vectors' magnitudes and directions.
How many minimum no of coplaner vectors having different magnitude can be added to given zero resultant?
Two minimum coplanar vectors with different magnitudes can be added to produce a zero resultant by choosing vectors in opposite directions and adjusting their magnitudes appropriately.
What are combined vectors that go in one direction?
true
