Expression 6: "d" Subscript, "o" "t" , Baseline left parenthesis, "u" , "v" , right parenthesis equals "u" . "x" "v" . "x" plus "u" . "y" "v" . "y"dotu,v=u.xv.x+u.yv.y
6
Expression 7: "d" Subscript, "o" "t" , Baseline left parenthesis, "F" Subscript, 2 , Baseline minus "X" , left parenthesis, "x" , "y" , right parenthesis , right parenthesis equals "d" Subscript, "o" "t" , Baseline left parenthesis, "F" Subscript, 2 , Baseline minus "X" , StartFraction, "F" Subscript, 2 , Baseline plus "X" Over 2 , EndFraction , right parenthesisdotF2−X,x,y=dotF2−X,F2+X2
7
Expression 8: "o" Subscript, "r" "t" "h" "o" , Baseline left parenthesis, "u" , right parenthesis equals left parenthesis, negative "u" . "y" , "u" . "x" , right parenthesisorthou=−u.y,u.x
8
Expression 9: "d" Subscript, "o" "t" , Baseline left parenthesis, "o" Subscript, "r" "t" "h" "o" , Baseline left parenthesis, "X" , right parenthesis , left parenthesis, "x" , "y" , right parenthesis , right parenthesis equals 0dotorthoX,x,y=0
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Expression 10: "e" Subscript, "H" , Baseline equals StartFraction, "F" Subscript, 2 , Baseline . "x" Over 2 , EndFractioneH=F2.x2
equals=
0.70.7
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Expression 11: "a" equals StartFraction, "r" Over 2 , EndFractiona=r2
equals=
0.50.5
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Expression 12: StartFraction, left parenthesis, "x" minus StartNestedFraction, "F" Subscript, 2 , Baseline . "x" NestedOver 2 , EndNestedFraction , right parenthesis squared Over "a" squared , EndFraction minus StartFraction, "y" squared Over "e" squared minus "a" squared , EndFraction equals 1x−F2.x22a2−y2e2H−a2=1
