Confused on Vector Math: Find Resultant Vector

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To find the vector B that, when added to vector A, results in a vector with no x component and a negative y component of 3.34 units, the equation 3.34 = Sqrt[(0^2) + (y^2)] is used. The user initially attempted to use -3.34 for the y component but received incorrect results. It is suggested to set up an equation to ensure the j components of vectors A and B sum to -3.34. The focus is on solving for the y component of vector B to achieve the desired resultant vector. Understanding the correct setup of the components is crucial for solving the problem accurately.
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Homework Statement



11l1rag.jpg


Homework Equations



x^2 + y^2 = r^2

The Attempt at a Solution



I understand everything, but the last segment.

What vector B when added to vector A, gives a resultant vector with no x component and a negative y component 3.34 units in length?

So 3.34 = Sqr Root [(0^2) + (y^2)]

You get 3.34 again, and because it states the y component should be negative, I plugged in -3.34, but alas, it's wrong. -.-

Ignore the 2.12 that I plugged in on the screenshot, I was just trying different ways of working this out.
 
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They want the j component of A + B to equal -3.34. Do your values for the j components add to -3.34? (Set up a simple equation and solve for By.)
 
Doc Al said:
They want the j component of A + B to equal -3.34. Do your values for the j components add to -3.34? (Set up a simple equation and solve for By.)

Thanks.
 
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