Angular Momentum Vector: A,C,E,G

AI Thread Summary
The direction of the angular momentum vector is determined by the cross product of the position vector and the linear momentum vector. It is established that the angular momentum vector is perpendicular to both the line connecting the object to the point and the linear velocity of the object. The consensus in the discussion supports option E, which states that the angular momentum vector is both perpendicular to the line connecting the object to the point and to the linear velocity. This aligns with the properties of cross products in vector mathematics. Therefore, option E is confirmed as the correct answer.
Thefox14
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Homework Statement



The direction of the angular momentum vector of an object about a particular point is

A. perpendicular to a line connecting the object to the point..
B. parallel to a line connecting the object to the point.
C. perpendicular to the linear velocity of the object.
D. parallel to its linear velocity.
E. (a) and (c)
F. (b) and (c)
G. (a) and (d)

Homework Equations



L = R x p

The Attempt at a Solution


I know that the angular momentum vector is the cross product of the linear momentum and a vector from a point towards the object. Right now I'm thinking its E, because a cross product is asking for a vector perpendicular to both, but I'm not 100% sure this is the correct answer.
 
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Thefox14 said:

Homework Statement



The direction of the angular momentum vector of an object about a particular point is

A. perpendicular to a line connecting the object to the point..
B. parallel to a line connecting the object to the point.
C. perpendicular to the linear velocity of the object.
D. parallel to its linear velocity.
E. (a) and (c)
F. (b) and (c)
G. (a) and (d)

Homework Equations



L = R x p

The Attempt at a Solution


I know that the angular momentum vector is the cross product of the linear momentum and a vector from a point towards the object. Right now I'm thinking its E, because a cross product is asking for a vector perpendicular to both, but I'm not 100% sure this is the correct answer.

I believe you are correct in chosing E. It is perpendicular to both, by the definition of the cross product.
 
Thanks!
 
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