Vectors x, y,z rather confusing question.

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The discussion revolves around calculating the z-component of a vector using the formula Magnitude² = Fx² + Fy² + Fz². The user proposes that the final answer for the z-component is 2√6, derived from the equation 4² - 2² - (2√2)². The user seeks confirmation on this calculation and further assistance in determining the angle and speed related to the vector. The conversation highlights the importance of understanding vector components and their relationships in physics.

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Hi there!

I'm puzzled halfway between these two vector questions.

Could anyone clear it up for me?

I've done half of it, but not sure what to do next...

http://img135.imageshack.us/img135/6442/screenshot20101123at034.png

This is what I've done so far:

http://img194.imageshack.us/img194/2171/imag0003cf.th.jpg

Uploaded with ImageShack.us

I'm thinking... the final answer might be 2 root 6?
Because:

Magnitude^2= Fx^2 +Fy^2 + Fz^2

Rearranged for: Magnitude^2 - Fx^2 - Fy^2 = Fz^2

So: 4^2 - 2^2 - (2sqrt2)^2

I got final answer as 2sqrt6

Would that be right for finding z? If so, how would I find the angle?

Question 4 I'm completely stumped on... It's asking me to calculate the speed, but all I have is the angle... =S

Anyone got any ideas?
 
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