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To add two vectors, you add the components. The angles are specified in polar coordinates (magnitude and angle); use the same convention for both angles (for example, measure them from the x-axis counterclockwise), then use your scientific calculator to convert from polar coordinates to rectangular coordinates. Most scientific calculators have a P->R conversion. After that, you can add the components of the vectors separately. Since you want the magnitude and direction of the resultant force, you then need to convert back to polar coordinates (R->P conversion, on your calculator).
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What is the resultant of two vectors in the opposite direction?
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
If the angle between two forces increases the magnitude of their resultant?
Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.
What is th effect on the resultant of increasing the angle between the two forces?
Increasing the angle between two forces will decrease the magnitude of the resultant force. When the angle is 180 degrees (opposite directions), the forces will cancel out, resulting in a zero resultant force. Conversely, when the angle is 0 degrees (same direction), the forces will add up, resulting in a maximum resultant force.
When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
How is the resultant of two forces affected by the angle between the forces?
The resultant of two forces is affected by the angle between the forces through vector addition. When the forces are pointing in the same direction (angle is 0 degrees), the resultant will be the sum of the two forces. As the angle between the forces increases, the magnitude of the resultant decreases until at 90 degrees, the forces are perpendicular and the resultant is the square root of the sum of the squares of the two forces.
What is the effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
What is the resultant of two vectors in the opposite direction?
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
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.
If the angle between two forces increases the magnitude of their resultant?
Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.
What is th effect on the resultant of increasing the angle between the two forces?
Increasing the angle between two forces will decrease the magnitude of the resultant force. When the angle is 180 degrees (opposite directions), the forces will cancel out, resulting in a zero resultant force. Conversely, when the angle is 0 degrees (same direction), the forces will add up, resulting in a maximum resultant force.
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
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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.
What is the angle between two vectors if their sum is to be maximum?
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
How is the resultant of two forces affected by the angle between the forces?
The resultant of two forces is affected by the angle between the forces through vector addition. When the forces are pointing in the same direction (angle is 0 degrees), the resultant will be the sum of the two forces. As the angle between the forces increases, the magnitude of the resultant decreases until at 90 degrees, the forces are perpendicular and the resultant is the square root of the sum of the squares of the two forces.
A vector of magnitude 3 cannot be added to a vector of magnitude 4 so the magnitude of the resultant is?
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What was the magnitude of the resultant force when the angle between two concrete forces?
To determine the magnitude of the resultant force when the angle between two forces is known, you can use the law of cosines. The formula is: R = √(F1^2 + F2^2 + 2F1F2*cosθ), where R is the resultant force, F1 and F2 are the magnitudes of the individual forces, and θ is the angle between the forces. Plug in the values and calculate to find the magnitude of the resultant force.
