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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.

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What represents the vector sum of all vector quantities acting on a single point?

Resultant


If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?

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How do you find the vector sum and vector diffirences of two vector quantities?

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>


How do you represent vector quantities?

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.


What are the methods of adding and subtracting vector quantities?

Vector quantities can be added or subtracted geometrically using the head-to-tail method. To add vectors, place the tail of the second vector at the head of the first vector. The sum is the vector that connects the tail of the first vector to the head of the second vector. To subtract vectors, reverse the direction of the vector being subtracted and then add it to the other vector as usual.


What is the difference between balanced and unbalaced forces?

The vector sum of a group of forces is zero. The vector sum of a group of forces isn't zero.


When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?

Yes.


Is resultant a vector quantity?

Yes, the resultant is a vector quantity because it has both magnitude and direction. It is the vector sum of two or more vectors acting on a system.


How is a resultant drawn on a vector diagram?

A resultant on a vector diagram is drawn by connecting the tail of the first vector to the head of the second vector. Then, the resultant vector is drawn from the tail of the first vector to the head of the second vector. The resultant vector represents the sum or difference of the two original vectors.


What do it mean do find a sum or difference in fraction?

The sum is the answer for adding and the difference is the answer for subtracting...


Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?

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.


What is the difference between vector and algebraic sums?

Well, honey, a vector sum takes into account both the magnitude and direction of the quantities being added, while an algebraic sum just adds up the numbers without caring about which way they're pointing. It's like comparing a GPS giving you directions to a toddler stacking blocks - one's got a sense of purpose, the other's just a hot mess. So, if you want to get somewhere specific, stick with vectors; but if you're just looking to crunch numbers, algebraic sums will do the trick.