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Vector component question

  • Thread starter Allenman
  • Start date
58
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This question was just given on a CEE 270 exam (handwritten by professor). The way it's written doesn't make any sense to me.

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?
 

Answers and Replies

gneill
Mentor
20,561
2,645
The problem makes sense. When you want to know the projection of one vector onto another, what vector operation comes to mind?
 
58
0
Wow... I didn't recognize it as a vector projection problem.... Thank you!
 

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