Vector A has a given magnitude of A = 2.5 and points due East. Vector B, of unknown magnitude, points directly North. The sum, Ã+ B, makes an angle of 0 = 34° North of East. Refer to the figure below. %3D Ā+B B Otheexpertta.com (a) Derive an expression for the magnitude of vector B in terms of the magnitude of 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, A – B? (c) What is the value of the magnitude of the sum of vectors à and B, JÃ+B? ....
Vector A has a given magnitude of A = 2.5 and points due East. Vector B, of unknown magnitude, points directly North. The sum, Ã+ B, makes an angle of 0 = 34° North of East. Refer to the figure below. %3D Ā+B B Otheexpertta.com (a) Derive an expression for the magnitude of vector B in terms of the magnitude of 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, A – B? (c) What is the value of the magnitude of the sum of vectors à and B, JÃ+B? ....
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Transcribed Image Text:6. Vector A has a given magnitude of A
= 2.5 and points due East. Vector B, of unknown
magnitude, points directly North. The sum, Ã +B, makes an angle of 0 = 34° North of
East. Refer to the figure below.
N
A+B
B
E
©theexpertta.com
(a) Derive an expression for the magnitude of vector B in terms of the magnitude of
A, 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, |A
B?
(c) What is the value of the magnitude of the sum of vectors A and B, |A + B ?
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