0
How do you find the vector sum and vector diffirences of two vector quantities?
Wiki User
∙ 12y ago
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>
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
How do you find the vector sum and vector difference of the two vector quantities?
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.
If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Can the magnitude of a resultant vector be greater than the sum of individual vectors?
The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.
How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
What is the sum of two vectors called?
This is just called the "sum". Sometimes also the "resultant vector".
What represents the vector sum of all vector quantities acting on a single point?
Resultant
How do you find the vector sum and vector difference of the two vector quantities?
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.
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.
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.
What is the difference between vector and algebraic sums?
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.
Is a vector sum called the resultant.?
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.
When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Every vector can be represented as the sum of its?
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.
What is vector sum?
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.
What is null 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...
