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Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vectors?
Wiki User
∙ 13y ago
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!
Wiki User
∙ 13y ago
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Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector proof mathematically?
Yes. If the two vectors are two sides of an equilateral triangle, then the resultant is the third side and therefore equal in magnitude.
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
Two vectors of equal magnitude have got a resultant whose magitude is equal to either one of them. Find the angle between the two vectors?
120 deg
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
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.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector proof mathematically?
Yes. If the two vectors are two sides of an equilateral triangle, then the resultant is the third side and therefore equal in magnitude.
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
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.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
How great is the resultant of two equal-magnitude vectors at right angles to each other?
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
Two vectors of equal magnitude have got a resultant whose magitude is equal to either one of them. Find the angle between the two vectors?
120 deg
Can the magnitude of resultant of two vectors of same magnitude be equal to the magnitude of either of the vectorsexplain mathematically?
Yes. Imagine an equilateral triangle. If two vectors are in the directions - and lengths - of two of the sides, the resultant will be the third side (depending on the directions chosen, of course).
Can the resultant of two vectors be equal to zero?
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
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.
