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**1. Homework Statement**

A force vector

[itex]\vec{F}[/itex] = ([itex]70.0 \hat{i} + F_{y} \hat{j} + 140.0 \hat{k}[/itex] ) N

has a component of +20.0 N in the direction defined by the vector

[itex]\vec{P}[/itex] = ([itex]6 \hat{i} - 3 \hat{j} - 2 \hat{k}[/itex] ) kN

Solve for [itex]F_{y}[/itex].

**3. The Attempt at a Solution**

I asked the professor if I needed to rotate the coordinate system as the question states that a

*component*of [itex]\vec{F}[/itex] is in the [itex]\vec{P}[/itex] direction. He said no rotation of the coordinate system should be needed.

I am very confused at how to even approach this problem. Please help. Does it even make sense?