2-D Vectors
Key Questions
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A quantity possessing both magnitude and direction, represented by an arrow the direction of which indicates the direction of the quantity and the length of which is proportional to the magnitude.
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Resultant of vectors can be found using the law of cosines.
If A and B are two vectors with an angle between them equal to
theta (theta < pi ), their resultant R is given by,R = [A^2 + B^2 + 2AB Cos theta]^(1/2) , this gives the magnitude of R.If the vector R makes an angle
alpha with vector A, thenalpha = arctan [(B Cos theta)/(A + B Sin theta)]