Calculating magnitudes of vectors

AI Thread Summary
To calculate the magnitudes of vectors A and B given the equation A + B - 225j = 0, the x and y components must be analyzed using trigonometric functions. The equations derived from the components are A*cos(42) - B*cos(56) = 0 for the x component and A*sin(42) + B*sin(56) - 225 = 0 for the y component. By substituting A in terms of B from the x component into the y component equation, the values for B and A can be determined. The calculations yield B = 168.85 and A = 127.05, although there’s a note about the use of 'j' in the equations. The setup appears correct, indicating a solid understanding of vector components.
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1. Homework Statement
Given the two vectors in the diagram, calculate their magnitudes if A+B-225j=0

Homework Equations


sum of x component= Acos(42)--Bcos(56)
sum of y component= Asin(42)+Bsin(56)--225j

The Attempt at a Solution


Find A and B use substitution

A= [Bcos(56)]/cos(42) from x comp.

plug that into y comp. to solve for B

[Bcos(56)sin(42)]/cos(42) + Bsin(56) -- 225j=0

After solving, I got B= 168.85 and A=127.05. Does that seem correct?
 
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I haven't checked your arithmetic, but your setup of the equations looks correct...except for those j's in the y component equations.

Chet
 

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