RE: How to get the Outer Product of two Matries ?

• To: mathgroup at smc.vnet.net
• Subject: [mg25872] RE: [mg25856] How to get the Outer Product of two Matries ?
• From: "David Park" <djmp at earthlink.net>
• Date: Sat, 4 Nov 2000 02:04:16 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Liwen,

It appears that what you want is the cross product of two vectors, not
matrices.

v1 = {x1, y1, z1};
v2 = {x2, y2, z2};
Cross[v1, v2]

{-y2 z1 + y1 z2, x2 z1 - x1 z2, -x2 y1 + x1 y2}

The cross product can also be entered as v1 \[Cross] v2 where \[Cross] can
be clicked in from the small cross on the Basic Input palette.

David Park

> -----Original Message-----
> From: liwen liwen [mailto:gzgear at yahoo.com]
To: mathgroup at smc.vnet.net

>
> Dear friends,
> operation of Matrix:
> matr1={x1,y1,z1};
> matr2={x2,y2,z3};
> I want to get the result of this operation:
> OuterProduct=matr1 x matr2(this expression
> is the same as that in Linear Algebra .) The answer
> is:x3 = y1*z2 - y2*z1;
> y3 = z1*x2 - x1*z2;
> z3 = x1*y2 - x2*y1;
> OuterProduct = {x3, y3, z3};
> How can I use any function included in Mathematica4 to
> calculate out the result ?
>
>
> I need the function to research the non-circular gears
> geometry .If anyone is good at the area,
> please send message to me .
>
> Best Regards,
> Liwen
> E-mail: gzgear at yahoo.com
>
>

```

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