F Vector is parallel to r vector formula ?

AI Thread Summary
The discussion revolves around the formula for the force vector being parallel to the position vector, expressed as F = F * (r / |r|). The user expresses confusion about how this relationship was derived, questioning the multiplication of the force unit vector by the unit position vector. Clarification is sought regarding the rationale behind this calculation. The conversation highlights the concept of vector projection and its application in this context. Understanding this relationship is essential for grasping the dynamics of forces in relation to position vectors.
thekey
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Hi everyone( the force vector parallel to the position vector r ) = Force vector* (r vector / r)

I don't know how did they find this relation ?
it seems to me they multiplied F hat by the unit vector ?
why ??
I am just confused about it

any idea ??
 
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F parallel hat= (F hat) * (r hat / r)
 
v101x.gif


the projection of v into the direction of u

0k that's why :)

thanks
 
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