No. The order of adding vectors does not affect the magnitude or direction. of the result.
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.
The length of the arrows could represent either the magnitude or the direction of the vectors. If the length represents magnitude, longer arrows would represent larger magnitudes of the vectors. If the length represents direction, the arrows would be all the same length, but pointing in different directions to represent different vectors.
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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.
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.
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.
The sum of two vectors having the same direction is a new vector. It's magnitude is the sum of the magnitudes of the original two vectors, and its direction is the same as their common direction.
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.
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.
In one dimension, the length of the arrows represents the magnitude or size of the vectors. Longer arrows indicate larger magnitudes, while shorter arrows indicate smaller magnitudes. The direction of the arrows indicates the direction of the vectors.
The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.
The length of the arrows could represent either the magnitude or the direction of the vectors. If the length represents magnitude, longer arrows would represent larger magnitudes of the vectors. If the length represents direction, the arrows would be all the same length, but pointing in different directions to represent different vectors.
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original vectors.
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.
Scalar addition involves adding a scalar quantity to each element of a vector. This is done by adding the scalar to the magnitude of the vector without changing its direction. The result is a new vector that represents the original vector displaced by the magnitude of the scalar in the same direction.