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October 21 Information

Angles to all three axes, symmetrical equation?

Resolved

Let p be a point in the first octant. Let a be the angle between OP and the X axis, b be the angle between OP and the Y axis and c be the angle between OP and the Z axis. Is there a symmetrical equation that allows any one of the three to be calculated from the other two? My guess is that it is Cos^2(a)+Cos^2(b)+Cos^2(c)=1, but I'm not sure of any examples that would show that other than those on the XY, YZ or XZ planes. Naraht ( talk) 17:59, 21 October 2015 (UTC) reply

See Direction cosine. -- RDBury ( talk) 18:10, 21 October 2015 (UTC) reply
Thanx, perfect. Naraht ( talk) 19:32, 21 October 2015 (UTC) reply
From Wikipedia, the free encyclopedia
Mathematics desk
< October 20 << Sep | October | Nov >> Current desk >
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.


October 21 Information

Angles to all three axes, symmetrical equation?

Resolved

Let p be a point in the first octant. Let a be the angle between OP and the X axis, b be the angle between OP and the Y axis and c be the angle between OP and the Z axis. Is there a symmetrical equation that allows any one of the three to be calculated from the other two? My guess is that it is Cos^2(a)+Cos^2(b)+Cos^2(c)=1, but I'm not sure of any examples that would show that other than those on the XY, YZ or XZ planes. Naraht ( talk) 17:59, 21 October 2015 (UTC) reply

See Direction cosine. -- RDBury ( talk) 18:10, 21 October 2015 (UTC) reply
Thanx, perfect. Naraht ( talk) 19:32, 21 October 2015 (UTC) reply

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