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Magnitude of the resultant vector = Square root of

[ (sum of x-components of all component vectors)2 plus

(sum of y-components of all component vectors)2

plus (sum of z-components of all component vectors)2 ]

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11y ago

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Related Questions

What is the formula for calculating magnitude of resultant vector?

|v| = vx|v| = Sqrt(vx2 + vy2)|v| = Sqrt(vx2 + vy2 + vz2)


How do you change the magnitude of the resultant vector between two if the angle between them decreases?

If the angle decreases, the magnitude of the resultant vector increases.


If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?

7


How do you find the magnitude of the resultant vector?

To find the magnitude of the resultant vector, you can use the Pythagorean theorem. Simply square the x-component, square the y-component, add them together, and then take the square root of the sum. This will give you the magnitude of the resultant vector.


How do you calculate a vector sum?

To calculate a vector sum, add the corresponding components of the vectors together. This means adding the x-components to get the resultant x-component, and adding the y-components to get the resultant y-component. The magnitude of the resultant vector can be found using the Pythagorean theorem, and the direction can be determined using trigonometry.


What is the magnitude of a unit vector and how is it calculated?

The magnitude of a unit vector is always 1. To calculate the magnitude of a vector, you can use the formula: magnitude sqrt(x2 y2 z2), where x, y, and z are the components of the vector in three-dimensional space.


How does the angle vectors affect the resultant vector?

The angle between two vectors significantly influences the magnitude and direction of the resultant vector. When two vectors are aligned in the same direction, their magnitudes simply add up, resulting in a larger resultant vector. Conversely, if they are at an angle to each other, the resultant vector's magnitude can be calculated using the cosine rule, and its direction is determined by the vector addition process. The greater the angle between the vectors, the more the resultant vector's magnitude can be diminished.


Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?

yes


What is the formula to calculate the magnitude of acceleration vector in physics?

The formula to calculate the magnitude of acceleration vector in physics is a (ax2 ay2 az2), where ax, ay, and az are the components of acceleration in the x, y, and z directions, respectively.


Compare the different methods in determining the resultant vector?

The graphical method involves using vector diagrams to visually represent the vectors and their resultant. The analytical method involves breaking down the vectors into their components and then summing the components to find the resultant. The trigonometric method uses trigonometric functions to calculate the magnitude and direction of the resultant vector.


Can the magnitude of the resultant of two vector be greater than the sum of magnitudes of indivisual vector?

No.


What the magnitude of resultant vector of two equal forces each of magnitude F is?

the resultant magnitude is 2 times the magnitude of F as the two forces are equal, Resultant R= F + F = 2F and the magnitude of 2F is 2F.