More generally, magnetic flux ? is defined by a scalar product of the magnetic field and the area element vector.
22.
This means there's a nontrivial identity made of only scalar products of vectors and multiplication and addition of reals.
23.
Computation of the scalar product of the forces with the velocity of the particle evaluates the instantaneous power added to the system.
24.
The biplot is formed from two scatterplots that share a common set of axes and have a between-set scalar product interpretation.
25.
The law of total expectation holds, since the projection cannot change the scalar product by the constant 1 belonging to the subspace.
26.
Another example of a Courant algebroid is a quadratic Lie algebra, i . e . a Lie algebra with an invariant scalar product.
27.
This is a normalization condition on the cross product : it says that the cross product is " compatible " with the scalar product.
28.
In such terms, the scalar product, or action of a linear functional on a vector in a complex vector space, is denoted by
29.
The time integral of this scalar equation yields work from the instantaneous power, and kinetic energy from the scalar product of velocity and acceleration.
30.
In any case, this alone won't solve all problems because of the above mentioned linear combination of product of scalar products expression.
