What is momentum dot product?

If a particle has energy E and momentum p, then it has energy-momentum 4-vector P = (E,p). The dot product of the energy-momentum 4-vector with itself this gives: P · P = E2 − p2. Mass is an invariant – the mass of a particle is the same in every frame.

Is momentum a vector product?

momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

Is momentum a scalar product or vector product?

As momentum is also a dot product of a scalar quantity, i.e., mass and a vector quantity, i.e., velocity which is again a vector quantity. Therefore, Momentum is a vector quantity. Note – Momentum of a body (or moving body) is defined as the product of mass of that body and velocity of that body.

Is angular momentum a cross product?

In three dimensions, the angular momentum for a point particle is a pseudovector r × p, the cross product of the particle’s position vector r (relative to some origin) and its momentum vector; the latter is p = mv in Newtonian mechanics.

Is dot product of force and momentum zero?

Find the angle between the force and the momentum. Since, the dot product is zero, we can conclude that cos\theta=0. Thus, the angle between the force and momentum will be ninety degrees.

Is torque a dot product?

In vector form, torque is the cross product of the radius vector (from axis of rotation to point of application of force) and the force vector.

Is momentum is scalar or vector quantity?

The momentum of a body is a vector quantity, for it is the product of mass, a scalar, by velocity, a vector.

What is dot product of force and momentum?

Since, the dot product is zero, we can conclude that cos\theta=0. where θ is the angle between the force and momentum. Hence, it is implied that \theta=90^\circ. Thus, the angle between the force and momentum will be ninety degrees.

What is momentum force?

Momentum is the force that exists in a moving object. The momentum force of a moving object is calculated by multiplying its mass (weight) by its velocity (speed). rock going at 10 mph has much more momentum force than a 3-lb. ball going at the same speed.

How is torque a cross product?

The vector or cross product is another way to combine two vectors; it creates a vector perpendicular to both it the originals. In vector form, torque is the cross product of the radius vector (from axis of rotation to point of application of force) and the force vector.

Is angular momentum a dot product or a cross product?

Momentum is a vector. Dot product yields a scalar. Angular momentum is a cross product, that is a vector product of two vectors. Linear momentum is the product of a vector and a scalar so the answer is NEITHER dot nor cross.

How do you apply dot product to linear momentum?

You can apply dot product or cross product if you have two vectors. But linear momentum is defined as the “motion of mass in the direction of velocity”. So, here you don’t have two vectors to apply dot product or cross product because, ‘ mass’ is a simple scalar value.

Is linear momentum a cross product of momentum?

Linear momentum is a quantity possessed by a moving object, and it is defined (as far as I know) as p =m v, where m is the mass of the object and v its vector velocity. If p where a cross product, then necessarily v should be a cross product, but it isn’t.

What is the difference between dot product and cross product?

A dot product takes two vectors and returns a scalar value, not a vector, so it returns the wrong type of value to be linear momentum. A cross product takes two vectors and returns a pseudovector, which is subtly different from a vector, and is also of the wrong type of value to be a linear momentum.