Vector A has a given magnitude of LAI-65 and points due east. (14%) Problem 4: V

Question

Vector A has a given magnitude of LAI-65 and points due east. (14%) Problem 4: Vector B, of magnitude, points directly north. The sum A B makes an angle of 52 degrees north of east. Refer to the figure. A+B Ctheexpertta.e -S 33% Part (a) Enter an expression for the magnitude of vector B in terms of the magnitude of A, A, and the angle e, using any required trigonometric functions B-tan(0) (65) xAttempts Remain 33% Part (b) What is the value of the magnitude of the difference of vectors A and B. LA-BI? 33% Part (c) what is the value of the magnitude of the sum of vectors A and B, IA + BI? Grade Summary IA + BI = 11 Potential100 sinO | cos() tan( () 789 cotan0 asin acos0 atan0 acotanO sinh coshO tanh0 cotanh00 2% per attempt) O Degrees Radians vo

Explanation / Answer

a)tan(theta) = lBl/lAl

B = lAl tan(theta)

b)cos(theta) = lAl/lA-Bl

lA-Bl = lAl/cos(theta)

c)lA+Bl = lAl/cos(theta)

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