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What is the magnitude of the resultant vectors when the angle between them is 60 degrees?
Wiki User
∙ 10y ago
What about the two vectors? Are they of same magnitude? If so then the resultant is got by getting the resolved components. Here we need adjacent components.
F cos30 + F cos30 = 2 F cos 30 = ./3 F
If forces of different magnitude then we use
R = ./ (P^2 + Q^2 + 2 P Q cos 60)
Wiki User
∙ 10y ago
To find the magnitude of the resultant vectors when the angle between them is 60 degrees, you can use the formula for finding the resultant of two vectors: magnitude of R = sqrt(A^2 + B^2 + 2AB*cos(theta)), where A and B are the magnitudes of the two vectors and theta is the angle between them. Plug in the values of A, B, and theta to calculate the magnitude of the resultant vector.
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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.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the vectors?
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
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.
Two vectors of unequal magnitude can their sum be zero?
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original vectors.
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.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
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.
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the vectors?
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vectors?
Magnitude? Yes. Simple answer: think of it as a triangle. Can a triangle have three sides of the same length? Yes. Long answer: there really isn't a long answer. To get the resultant of two vectors, one would add up the components of each vector. While it is impossible to add two vectors of the same magnitude and derive a resultant of the same magnitude AND DIRECTION as one of the vectors, one need only to create a directional difference of exactly 60 degrees between the first two vectors to result in a resultant of like magnitude. Math really is the most perfect language. Vectors are to triangles what optics are to to the study of conics!
What is the magnitude of the resultant of a pair of perpendicular 300 N vectors?
The magnitude depends on the angle between the vectors. The magnitude could be from 0 to 600 N.
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
7
Can three vectors of equal magnitude be combined to give a zero resultant?
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
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.
