Rotate Point Between Coordinate Systems

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I have a point(s)



P0(x,y,z)...Pn(x,y,z)



and a plane described by two vectors and a normal.



V1(x,y,z)



V2(x,y,z)



N1(x,y,z)



I am rotating them so that they are axis aligned in the world by doing this



P0'=(P0 DOT(V1),P0 DOT(V2), P0 DOT(N1))



This works and the points are rotated as expected. I want to know how to now rotate them, and new points back. Basically the inverse operation



Thanks




geometry 3d




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  • Please see math.meta.stackexchange.com/questions/5020
    – Lord Shark the Unknown
    Jul 23 at 18:49










  • Do you know about inverse matrices?
    – saulspatz
    Jul 23 at 19:17














up vote
0
down vote

favorite












I have a point(s)



P0(x,y,z)...Pn(x,y,z)



and a plane described by two vectors and a normal.



V1(x,y,z)



V2(x,y,z)



N1(x,y,z)



I am rotating them so that they are axis aligned in the world by doing this



P0'=(P0 DOT(V1),P0 DOT(V2), P0 DOT(N1))



This works and the points are rotated as expected. I want to know how to now rotate them, and new points back. Basically the inverse operation



Thanks




geometry 3d




share|cite|improve this question



















  • Please see math.meta.stackexchange.com/questions/5020
    – Lord Shark the Unknown
    Jul 23 at 18:49










  • Do you know about inverse matrices?
    – saulspatz
    Jul 23 at 19:17












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have a point(s)



P0(x,y,z)...Pn(x,y,z)



and a plane described by two vectors and a normal.



V1(x,y,z)



V2(x,y,z)



N1(x,y,z)



I am rotating them so that they are axis aligned in the world by doing this



P0'=(P0 DOT(V1),P0 DOT(V2), P0 DOT(N1))



This works and the points are rotated as expected. I want to know how to now rotate them, and new points back. Basically the inverse operation



Thanks




geometry 3d




share|cite|improve this question











I have a point(s)



P0(x,y,z)...Pn(x,y,z)



and a plane described by two vectors and a normal.



V1(x,y,z)



V2(x,y,z)



N1(x,y,z)



I am rotating them so that they are axis aligned in the world by doing this



P0'=(P0 DOT(V1),P0 DOT(V2), P0 DOT(N1))



This works and the points are rotated as expected. I want to know how to now rotate them, and new points back. Basically the inverse operation



Thanks





geometry 3d





share|cite|improve this question










share|cite|improve this question




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asked Jul 23 at 18:46









MDK

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  • Please see math.meta.stackexchange.com/questions/5020
    – Lord Shark the Unknown
    Jul 23 at 18:49










  • Do you know about inverse matrices?
    – saulspatz
    Jul 23 at 19:17
















  • Please see math.meta.stackexchange.com/questions/5020
    – Lord Shark the Unknown
    Jul 23 at 18:49










  • Do you know about inverse matrices?
    – saulspatz
    Jul 23 at 19:17















Please see math.meta.stackexchange.com/questions/5020
– Lord Shark the Unknown
Jul 23 at 18:49




Please see math.meta.stackexchange.com/questions/5020
– Lord Shark the Unknown
Jul 23 at 18:49












Do you know about inverse matrices?
– saulspatz
Jul 23 at 19:17




Do you know about inverse matrices?
– saulspatz
Jul 23 at 19:17















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