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.
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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 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>
Yes.
To find the sum of integers, you use addition.To find the difference, you use subtraction.
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
Resultant
resultant
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>
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.
The vector sum of a group of forces is zero. The vector sum of a group of forces isn't zero.
Yes.
A vector is represented as a sum of its parts.
The resultant of two vectors cannot be a scalar quantity.
The vector sum of all of the individual forces in a balanced group of forces is zero. The vector sum of all of the individual forces in an unbalanced group of forces isn't.
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 sum is the answer for adding and the difference is the answer for subtracting...