Question #9ef86

1 Answer
Oct 12, 2017

"magnitude=47.17 units , angle=122.01"^o

Explanation:

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"let the x-component of the vector be "F_x" (it has shown as green)."

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"let the y-component of the vector be "F_y" (it has shown as blue)."

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"The F vector shows the composition of "F_x " and " F_y" (it has shown as red)".

"the magnitude of F vector can be calculated using the fallowing formula."

F=sqrt(F_x^2+F_y^2)

F_x=-25" , "F_y=40

F=sqrt((-25)^2+40^2)

F=sqrt(625+1600)

F=sqrt(2225)

F=47.17 " units."

"You need to calculate the angle "alpha " or "theta " to express direction of vector F."

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tan alpha=(F_y)/(F_x)

tan alpha=(40)/(-25)

tan alpha=-1.6

alpha=-57.99 ^o

"or "theta"=180-57.99=122.01^o