Expression 7: "b" Subscript, 1 , Baseline equals vector left parenthesis, "A" , "A" plus "v" Subscript, 1 , Baseline , right parenthesisb1=vectorA,A+v1
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Expression 8: "n" Subscript, 0 , Baseline equals StartFraction, "b" Subscript, 0 , Baseline times "b" Subscript, 1 , Baseline Over length left parenthesis, "b" Subscript, 0 , Baseline times "b" Subscript, 1 , Baseline , right parenthesis , EndFractionn0=b0×b1lengthb0×b1
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Expression 9: vector left parenthesis, "A" , left parenthesis, "x" , "y" , "z" , right parenthesis , right parenthesis times "n" Subscript, 0 , Baseline equals 0vectorA,x,y,z·n0=0
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Defining the new plane
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Expression 11: "P" equals left parenthesis, 6 , 2 , negative 3 , right parenthesisP=6,2,−3
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Expression 12: "m" equals vector left parenthesis, "A" , "P" , right parenthesis times "b" Subscript, 0 , Baselinem=vectorA,P×b0
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Expression 13: vector left parenthesis, "A" , left parenthesis, "x" , "y" , "z" , right parenthesis , right parenthesis times "m" equals 0vectorA,x,y,z·m=0
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Expression 14: alpha equals arc cosine left parenthesis, StartFraction, "m" times "n" Subscript, 0 , Baseline Over StartAbsoluteValue, "m" , EndAbsoluteValue times StartAbsoluteValue, "n" Subscript, 0 , Baseline , EndAbsoluteValue , EndFraction , right parenthesisα=arccosm·n0m·n0