obtain the formula for magnitude of the resultant vector using low of parallelogram a river is flowing 6kg per hour a man swims across it with velocity 9km per hours. find the resultant velocity of man?
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Note: vectors are shown in bold. scalars are shown in normal type
The diagram above shows two vectors A and B with angle p between them.
R is the resultant of A and B
R = A + B
This is the resultant in vector
R is the magnitude of vector R
Similarly A and B are the magnitudes of vectors A and B
R = √(A2 + B2 2ABCos p) or [A2 + B2 2ABCos p]1/2
To give the direction of R we find the angle q that R makes with B
Tan q = (A Sin p)/(B + A Cos q)
A vector is completely defined only if both magnitude and direction are given.
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