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

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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.* * * * *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".

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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.

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.

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.

A vector sum involves combining quantities that have both magnitude and direction, using vector addition rules such as parallelogram law. An algebraic sum involves combining quantities without considering their direction, using simple arithmetic addition or subtraction.

Yes, the vector sum is called the resultant. The resultant is the single vector that represents the combined effect of two or more vectors. It is equal to the vector sum of the individual vectors.

The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.

resultant

Every vector can be represented as the sum of its orthogonal components. For example, in a 2D space, any vector can be expressed as the sum of two orthogonal vectors along the x and y axes. In a 3D space, any vector can be represented as the sum of three orthogonal vectors along the x, y, and z axes.

The vector sum is the result of adding two or more vectors together. It is found by combining the magnitudes and directions of each vector to determine the overall magnitude and direction of 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...