With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
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.
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.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
If they are equal in magnitude but act in opposite directions.
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
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.
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.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
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.
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.