If a force F is applied to an object at a point Q , then the line through Q parallel to F is called the line of action of the force. We defined the vector moment of F about a point P to be P Q → × F . Show that if Q ′ is any point on the line of action of F, then P Q → × F= P Q → × F; that is, it is not essential to use the point of application to compute the vector moment—any point on the line of action will do.
If a force F is applied to an object at a point Q , then the line through Q parallel to F is called the line of action of the force. We defined the vector moment of F about a point P to be P Q → × F . Show that if Q ′ is any point on the line of action of F, then P Q → × F= P Q → × F; that is, it is not essential to use the point of application to compute the vector moment—any point on the line of action will do.
If a force F is applied to an object at a point Q, then the line through Q parallel to F is called the line of action of the force. We defined the vector moment of F about a point P to be
P
Q
→
×
F
. Show that if
Q
′
is any point on the line of action of F, then
P
Q
→
×
F=
P
Q
→
×
F;
that is, it is not essential to use the point of application to compute the vector moment—any point on the line of action will do.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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