Vector addition using components from magnitude and direction angle
Expression 11: StartRoot, left parenthesis, "i" squared plus "j" squared , right parenthesis , EndRooti23+j23
equals=
47.3 0 2 2 3 9 5 3 6 647.3022395366
11
Expression 12: tangent to the negative 1st power left parenthesis, StartFraction, "j" Subscript, 3 , Baseline Over "i" Subscript, 3 , Baseline , EndFraction , right parenthesistan−1j3i3
equals=
43.3 5 6 6 6 5 2 1 3 443.3566652134
12
Hidden Label: left parenthesis, "i" Subscript, 1 , Baseline , "j" Subscript, 1 , Baseline , right parenthesisi1,j1
Expression 14: "y" equals left parenthesis, StartFraction, "j" Subscript, 1 , Baseline Over "i" Subscript, 1 , Baseline , EndFraction , right parenthesis "x" left brace, 0 less than "x" less than "i" Subscript, 1 , Baseline , right bracey=j1i1x0<x<i1
14
Hidden Label: left parenthesis, "i" Subscript, 2 , Baseline , "j" Subscript, 2 , Baseline , right parenthesisi2,j2
Label
equals=
left parenthesis, 28.5 7 8 8 3 8 3 , 16.5 , right parenthesis28.5788383,16.5
15
Expression 16: "y" equals left parenthesis, StartFraction, "j" Subscript, 2 , Baseline Over "i" Subscript, 2 , Baseline , EndFraction , right parenthesis "x" left brace, 0 less than "x" less than "i" Subscript, 2 , Baseline , right bracey=j2i2x0<x<i2
16
Hidden Label: left parenthesis, "i" Subscript, 3 , Baseline , "j" Subscript, 3 , Baseline , right parenthesisi3,j3
Label
equals=
left parenthesis, 34.3 9 3 1 8 0 8 , 32.4 7 4 7 7 4 6 , right parenthesis34.3931808,32.4747746
17
Expression 18: "y" equals left parenthesis, StartFraction, "j" Subscript, 3 , Baseline Over "i" Subscript, 3 , Baseline , EndFraction , right parenthesis "x" left brace, 0 less than "x" less than "i" Subscript, 3 , Baseline , right bracey=j3i3x0<x<i3
18
Expression 19: "y" equals left parenthesis, StartFraction, "j" Subscript, 3 , Baseline minus "j" Subscript, 2 , Baseline Over "i" Subscript, 3 , Baseline minus "i" Subscript, 2 , Baseline , EndFraction , right parenthesis times left parenthesis, "x" minus "i" Subscript, 2 , Baseline , right parenthesis plus "j" Subscript, 2 , Baseline left brace, "i" Subscript, 2 , Baseline less than "x" less than "i" Subscript, 3 , Baseline , right bracey=j3−j2i3−i2·x−i2+j2i2<x<i3
19
Expression 20: "y" equals left parenthesis, StartFraction, "j" Subscript, 3 , Baseline minus "j" Subscript, 1 , Baseline Over "i" Subscript, 3 , Baseline minus "i" Subscript, 1 , Baseline , EndFraction , right parenthesis times left parenthesis, "x" minus "i" Subscript, 1 , Baseline , right parenthesis plus "j" Subscript, 1 , Baseline left brace, "i" Subscript, 1 , Baseline less than "x" less than "i" Subscript, 3 , Baseline , right bracey=j3−j1i3−i1·x−i1+j1i1<x<i3
