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I posted this question before also but did not get the satisfactory answer. So I am posting the question again with more specifications. My question is --- Suppose we have two planes intersecting in one line. Let one plane's normal be [3,4,2] and other plane's normal be [a,b,c]. We know the angle between the two planes as 60 degrees. We know one point on the intersecting line, suppose (7,3,4). Now with this information in hand, can we find out the normal vector of second plane ie [a,b,c].

All the responses are welcome.

Regards,