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The Law of Cosines shows the affect of the angle between vectors.
R^2 = (A+B)(A +B)*= (AA* + BB* + 2ABcos(AB))
If the angle is less than 90 degrees the resultant squared R^2 is greater than the sum of the vectors squared.
If the angle is 90 degrees the resultant squared is the sum of the vectors squared.
If the angle is greater than 90 degrees, the resultant squared is less than the Sum of the vectors squared.
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∙ 14y ago
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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.
How does the resultant of two vectors change as the angle between the two vectors increase?
The resultant decreases from 0 degrees until the angle is 180 degrees and then increases until 360 degrees.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
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.
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
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?
if you add the vectors magnitude and equal to resultant the angle between them is 0
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.
How does the resultant of two vectors change as the angle between the two vectors increase?
The resultant decreases from 0 degrees until the angle is 180 degrees and then increases until 360 degrees.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
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.
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
What should be the angle for the resultant of two vectors to be maximum?
that's what she said
Define the angle of the resultant vector?
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
7
Can the resultant of two equal vectors be of same magnitude as the two vectors?
Yes. This will happen if the two vectors are at an angle of 120 degrees.
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
