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Assuming you mean sum and not some, the answer is No.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
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 magnitude of the sum is the difference between the magnitudes of the two numbers. The sign of the sum is the sign of the number with the larger magnitude. (The "magnitude" of a number is just the size of the number without any sign.)
Vector addition is commutative so you can start with either vector.The graphical solutions are quite simple.If the vectors are parallel, then their addition is the sum of the two vectors and acts in the same direction.If the vectors are anti-parallel, then their addition is the difference of the two vectors and acts in the direction of the larger vector.If the vectors are not parallel, draw them with their tails together. The complete the parallelogram using these as two of the sides. The addition of the vectors is the diagonal through the first vertex.Otherwise, (and more accurately),if you have vectors a and b inclined at angles p and q to the positive direction of the x axis, then the component of their sum along thehorizontal direction is s = a*cos(p) + b*cos(q)and the vertical component is t = a*sin(p) + b*sin(q)The magnitude of the resultant is sqrt(s2 + t2) and its direction is arctan(t/s) within the appropriate range.
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
Assuming you mean sum and not some, the answer is No.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
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.
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 resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
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 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.
100 times larger
The magnitude of the sum is the difference between the magnitudes of the two numbers. The sign of the sum is the sign of the number with the larger magnitude. (The "magnitude" of a number is just the size of the number without any sign.)
The magnitude of the gravitational force between two bodies depends on the mass of the bodies and the distance between them. The larger the mass of the bodies, the greater the gravitational force, and the closer the bodies are, the stronger the gravitational force.