If a vector is given in component form <x1,y1> and <x2,y2>, then you add or subtract the corresponding components. <x1,y1>+<x2,y2>=<x1+x2,y1+y2>
Element by element. That is: Sum all the first elements to get the first element of the result; Sum all the second elements to get the second element of the result...The vector sum is obtained by adding the two quantities. The vector difference is obtained by subtracting one from the other. Hint: 'sum' always means addition is involved, 'difference' always means subtraction is involved.* * * * *That is the algebraic answer. There is also a geometric answer.To sum vectors a and b, draw vector a. From the tip of vector a, draw vector b. Then a + b is the vector from the base of a to the tip of b. To calculate a - b, instead of drawing b,draw the vector -b, which is a vector of the same magnitude as b but going in the opposite direction.
resultant
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.
This is just called the "sum". Sometimes also the "resultant vector".
Resultant
Element by element. That is: Sum all the first elements to get the first element of the result; Sum all the second elements to get the second element of the result...The vector sum is obtained by adding the two quantities. The vector difference is obtained by subtracting one from the other. Hint: 'sum' always means addition is involved, 'difference' always means subtraction is involved.* * * * *That is the algebraic answer. There is also a geometric answer.To sum vectors a and b, draw vector a. From the tip of vector a, draw vector b. Then a + b is the vector from the base of a to the tip of b. To calculate a - b, instead of drawing b,draw the vector -b, which is a vector of the same magnitude as b but going in the opposite direction.
Vector magnitude is represented by the square root of the sum of the squares of the independent vector comonents; |V| = (x2 + y2 + z2)1/2.
A vector is represented as a sum of its parts.
The resultant of two vectors cannot be a scalar quantity.
Force is a vector, and so the sum of all forces acting on an object is a vector sum.
For equilibrium, two conditions have to be met:* The sum (vector sum) of all forces acting on the object has to be zero (otherwise, it will start to accelerate). * The sum of all torques acting on the object has to be zero (otherwise, it will start to rotate).
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
resultant
That is usually called the resultant vector.
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
A resultant Vector.