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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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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
