cross: torque dot: work
Yes and no. It's the dot product, but not the cross product.
A Dot product is a very useful tool in both mechanics and 3D graphics. It calculates the cosine of the angle between two vectors.In two-dimensional space, the dot product of vectors [a, b] and [c, d] is ac + bd.Mechanical work is the dot product of force and displacement vectors.Magnetic flux is the dot product of the magnetic field and the area vectors.
Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
If by "triple dot product" you mean u·v·w, then no, because that would imply the existence of a dot product between a vector and a scalar.
cross: torque dot: work
As we know work done is a scalar. Also the work done is referred to as the product of force and displacement. so, we consider the dot product of force and displacement which would result in a scalar.
Yes and no. It's the dot product, but not the cross product.
A Dot product is a very useful tool in both mechanics and 3D graphics. It calculates the cosine of the angle between two vectors.In two-dimensional space, the dot product of vectors [a, b] and [c, d] is ac + bd.Mechanical work is the dot product of force and displacement vectors.Magnetic flux is the dot product of the magnetic field and the area vectors.
The dot-product of two vectors is the product of their magnitudes multiplied by the cosine of the angle between them. The dot-product is a scalar quantity.
Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
If by "triple dot product" you mean u·v·w, then no, because that would imply the existence of a dot product between a vector and a scalar.
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No. The dot product is also called the scalar product and therein lies the clue.
We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
It depends on what the dot product is meant to be equal to.
Dot product is an algebraic operation when two equal-length sequences of numbers are returned as a single number.