6. Vector A has a given magnitude of A= 2.5 and points due East. Vector B, of unknownmagnitude, points directly North. The sum, Ã +B, makes an angle of 0 = 34° North ofEast. Refer to the figure below.NA+BBE©theexpertta.com(a) Derive an expression for the magnitude of vector B in terms of the magnitude ofA, A, and the angle 0, using any required trigonometric functions.(b) What is the value of the magnitude of the difference of vectors A and B, |AB?(c) What is the value of the magnitude of the sum of vectors A and B, |A + B ?

Part a: The direction of the resultant vector is given by: Substitute the required values and…

Answered: Vector A has a given magnitude of A =…

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