Re: Machinists; critical machining data

On Fri, 22 Jun 2007 23:24:54 GMT, BottleBob <bottlbob@xxxxxxxxxxxxx> wrote:

What MAY be satisfactory, IMO, is a Null vector.

========================================================================
http://en.wikipedia.org/wiki/Zero_vector

Null vector

In linear algebra and related areas of mathematics, the null vector or
zero vector

Which remains a vector, not a scalar.

is the vector (0, 0, ?, 0) in Euclidean space, all of whose
components are zero.

And the unit vectors?

It is usually written or 0 or simply 0.

That's only for notational simplicity by convention and EVERYONE but
you knows it's just a "shorthand" notation.

For a general vector space, the null vector is the uniquely determined
vector that is the identity element for vector addition.

And you cannot add scalars to vectors.

The zero vector is unique; if a and b are zero vectors, then a = a + b =
b.

It's also symmetrical under rotation <g>.

It is the result of scalar multiplication by the scalar 0.

A scalar times a vector is a vector. HTH.

The preimage of the zero vector under a linear transformation f is
called kernel or null space.

A zero space is a linear space whose only element is a zero vector.
=========================================================================

Now it would seem that a Null vector, or Zero space, is pretty much the
same thing as having NO vector at all -

Not at all.

since all the magnitudes and
directions seem to be as close to non existent as possible but yet still
have the NAME vector.

Because it's a vector?

So the term zero momentum BEING a FORM of momentum

Only the scalar magnitude may be zero. The vector is not = 0.

may be similar to
someone asking me if I have any money. Sure I've got money - Zero
money!

Wick has just confused you again I see.
--
Cliff
.

Relevant Pages

  • Re: Curvature scalar
    ... Dirk Van de moortel wrote: ... The Ricci scalar is -2. ... scalar is ZERO for flat spacetime with the following ... the Ricci tensor and scalar are zero. ...
    (sci.physics.relativity)
  • Numerical underflow problem - help about matrix logarithm needed please
    ... I am currently using Matlab to calculate the value of a ... where A is a 1x3 vector, B is an upper triangular 3x3 matrix, n is a ... scalar and C is a 3x1 vector. ... For some values of n, i.e. large n, f turns out to be zero. ...
    (comp.soft-sys.matlab)
  • Re: Linear algebra
    ... right-hand side above is the *vector* zero and not the scalar, equate the ...
    (sci.math)
  • Re: Proving planes are not parallel
    ... > if the cross product of their normal vectors is zero. ... There is a zero vector in every vector space, such that if 0 is the zero ... scalar and Z is the zero vector and "." ...
    (sci.math)
  • Re: Einsteins lopsided caricature of space and time
    ... > Dirk Van de moortel wrote: ... but that is just because both sides of the equation are zero. ... The only events with coordinates x, t, and x' that satisfy both ... When you learn the basics of linear algebra and analytical ...
    (sci.physics.relativity)