Solution Found!
In Figure 3.5, let r be another vector from O to the line of F. Show that r F = r F
Chapter 6, Problem 10(choose chapter or problem)
In Figure 3.5, let r be another vector from O to the line of F. Show that r F = r F. Hint: r r is a vector along the line of F and so is a scalar multiple of F. (The scalar has physical units of distance divided by force, but this fact is irrelevant for the vector proof.) Show also that moving the tail of r along n does not change n r F. Hint: The triple scalar product is not changed by interchanging the dot and the cross. 11
Questions & Answers
QUESTION:
In Figure 3.5, let r be another vector from O to the line of F. Show that r F = r F. Hint: r r is a vector along the line of F and so is a scalar multiple of F. (The scalar has physical units of distance divided by force, but this fact is irrelevant for the vector proof.) Show also that moving the tail of r along n does not change n r F. Hint: The triple scalar product is not changed by interchanging the dot and the cross. 11
ANSWER:Step 1 of 3
We know that,
So the angle between F and 
Implies,
So,
