Confused on Vector Math: Find Resultant Vector

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SUMMARY

The discussion centers on solving for vector B in a vector addition problem where the resultant vector has no x component and a negative y component of 3.34 units in length. The user initially attempted to find vector B by using the equation 3.34 = Sqr Root [(0^2) + (y^2)], leading to the conclusion that y must equal -3.34. However, the user faced difficulties confirming this solution, prompting advice to set up an equation to ensure the j components of vectors A and B sum to -3.34.

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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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