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Need a laymen's explanation of DOT and CROSS

DAN_M
Can someone please give me the laymen's explanation of DOT and CROSS?

Was going over this thread today and it really peaked my interest--> https://www.pcdmisforum.com/forum/pc-dmis-enterprise-metrology-software/pc-dmis-for-cmms/490031-parallelism-calculation#post490034

I tried looking things up on the internet but it gets into some really heavy math. My highest level of math education is being comfortable trigging out a right triangle (gdt stuff / sohcahtoa).

When/why would you want to use these math functions in PC DMIS? Would really appreciate any insight or resources anyone could point me towards.


Thanks!
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  • The DOT is for the dot product. The dot product of two vectors is a scalar and is equal to the sum of the products of the vector components. When using the dot product between a vector and a unit basis vector (<0, 0, 1>, <0, 1, 0>, <1, 0, 0>Wink, you receive the projection of the vector onto the axis. This is helpful in PC-DMIS when you want to project your measured data onto a particular plane.

    The CROSS is for the cross product. The cross product of two vectors is a vector and the computation is simply arithmetic but not as easily stated. The cross product of two vectors will yield a third vector (a) that is perpendicular to the two vectors and (b) whose magnitude is equal to the area of the parallelogram formed by the two vectors. This is helpful in PC-DMIS if you are trying to find the vector of the plane made from two lines.

    I have no doubt that will, at the very least, be able to provide more direct PC-DMIS related examples.
  • in reply to JacobCheverie
    By "Scalar", he means a "number", like 10.35...it has no direction.
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