F Vector is parallel to r vector formula ?

In summary, the formula for determining if the F vector is parallel to the r vector is F = k*r, where k is a constant. This formula is used in physics to calculate the force exerted by an object on another object, given their positions and the constant k. If the F vector is parallel to the r vector, it means that the force acting on an object is in the same direction as its position vector. The F vector and r vector cannot be perpendicular if they are parallel, as this would result in a different formula. The constant k is determined by the properties of the objects involved and the type of force acting between them, such as the gravitational constant for gravity.
  • #1
thekey
14
0
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 ??
 
Last edited:
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  • #2
F parallel hat= (F hat) * (r hat / r)
 
  • #3
v101x.gif


the projection of v into the direction of u

0k that's why :)

thanks
 

Related to F Vector is parallel to r vector formula ?

1. What is the formula for determining if the F vector is parallel to the r vector?

The formula for determining if the F vector is parallel to the r vector is F = k*r, where k is a constant.

2. How do you use the F vector is parallel to r vector formula in physics?

The F vector is parallel to r vector formula is used in physics to calculate the force exerted by an object on another object, given their positions and the constant k.

3. What does it mean if the F vector is parallel to the r vector?

If the F vector is parallel to the r vector, it means that the force acting on an object is in the same direction as its position vector.

4. Can the F vector and r vector ever be perpendicular?

No, the F vector and r vector cannot be perpendicular if they are parallel. If they were perpendicular, the force would be acting at a right angle to the object's position, which would result in a different formula.

5. How is the constant k determined in the F vector is parallel to r vector formula?

The constant k is determined by the properties of the objects involved and the type of force acting between them. For example, in the case of gravity, the constant would be the gravitational constant, G.

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