how to obtain the orthogonal vectors of one 3*1 unit vector?
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Hi everyone,
I have a 3*1 unit vector as r1= [ 0.6619 0.6976 -0.2740]', and want to obtain the other two unit orthogonal vectors of r1. these two vectors are named as r2 and r3, they satisfy:
R=[r1 r2 r3] is a 3*3 unit orthogonal matrix.
Could anyone tell me what commands in matlab is useful to do this? Thx very much!
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David Sanchez
2013-12-17
a = [0.6619 0.6976 -0.2740];
b = [a(1) a(3) -a(2)];
c = cross(a,b);
c = c/norm(c);
M = [a;b;c]; % orthogonal matrix
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Matt J
2013-12-17
Don't think so
>> M'*M
ans =
1.2669 0.0854 -0.1959
0.0854 0.6590 -0.2232
-0.1959 -0.2232 1.0738
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