Expression 4: "v" Subscript, 1 , Baseline equals vector left parenthesis, left parenthesis, 0 , 0 , 1 , right parenthesis , left parenthesis, 0 , 0 , negative sin left parenthesis, "T" Subscript, 1 , Baseline minus StartFraction, 2 pi Over 4 , EndFraction , right parenthesis left brace, 0 less than or equal to "T" Subscript, 1 , Baseline less than or equal to StartFraction, 7 pi Over 4 , EndFraction , right brace , right parenthesis , right parenthesisv1=vector0,0,1,0,0,−sinT1−2π40≤T1≤7π4
4
Expression 5: "v" Subscript, 2 , Baseline equals vector left parenthesis, left parenthesis, 1 , 1 , 0 , right parenthesis , left parenthesis, 1 , negative sin left parenthesis, "T" Subscript, 1 , Baseline minus StartFraction, 5 pi Over 4 , EndFraction , right parenthesis , 0 left brace, StartFraction, 3 pi Over 4 , EndFraction less than "T" Subscript, 1 , Baseline less than StartFraction, 10 pi Over 4 , EndFraction , right brace , right parenthesis , right parenthesisv2=vector1,1,0,1,−sinT1−5π4,03π4<T1<10π4
5
Expression 6: "v" Subscript, 2 , Baseline equals vector left parenthesis, left parenthesis, 2 , 0 , negative 1 , right parenthesis , left parenthesis, 2 , 0 , sin left parenthesis, "T" Subscript, 1 , Baseline minus StartFraction, 8 pi Over 4 , EndFraction , right parenthesis left brace, StartFraction, 6 pi Over 4 , EndFraction less than "T" Subscript, 1 , Baseline less than StartFraction, 13 pi Over 4 , EndFraction , right brace , right parenthesis , right parenthesisv2=vector2,0,−1,2,0,sinT1−8π46π4<T1<13π4
6
Expression 7: "v" Subscript, 2 , Baseline equals vector left parenthesis, left parenthesis, 3 , negative 1 , 0 , right parenthesis , left parenthesis, 3 , sin left parenthesis, "T" Subscript, 1 , Baseline minus StartFraction, 11 pi Over 4 , EndFraction , right parenthesis , 0 left brace, StartFraction, 9 pi Over 4 , EndFraction less than "T" Subscript, 1 , Baseline less than StartFraction, 17 pi Over 4 , EndFraction , right brace , right parenthesis , right parenthesisv2=vector3,−1,0,3,sinT1−11π4,09π4<T1<17π4
7
Expression 8: "T" Subscript, 1 , Baseline to "T" Subscript, 1 , Baseline plus 0.0 1T1→T1+0.01