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Slide 1

• 2) a) A(-2,4,0) B(-4,2,-2) e C(0,3,5)
• BC = C-B
• BC = (0,3,5) - (-4,2,-2)
• BC = (4,1,7)
• (x,y,z) = (x1,y1,z1) + (a,b,c)
• (x,y,z) = (-4,2,-2) + (4,1,7)
• x = 0,3,5 + t 4,1,7
• y = -2,4,0 = 0,3,5 + t 4,1,7
• z = -2,4,0 = 0,3,5 = t (4,1,7)
• R: (-2,1,-5) = t (4,1,7)
• "A" Não pertece a reta BC
• b) A(5,5,8) B(1,-1,4) e C(3,1,6)
• BC = C-B
• BC = (3,1,6) - (1,-1,4)
• BC = (2,2,2)
• (x,y,z) = (x1,y1,z1) + (a,b,c)
• (x,y,z) = (1,-1,4)) + (2,2,2)
• x = 3,1,6 + t 2,2,2
• y = 5,5,8 = 3,1,6 + t 2,2,2
• z = 5,5,8 - 3,1,6 = t 2,2,2
• R: (2,4,2) = t (2,2,2)
• "A" Não pertece a reta BC
• c) A(-4,-7,9) B(2,-1,3) e C(5,2,1)
• BC = C-B
• BC = (5,2,1) - (2,-1,3)
• BC = (3,3,-2)
• (x,y,z) = (x1,y1,z1) + (a,b,c)
• (x,y,z) = (2,-1,3)) + (3,3,-2)
• x = 2,-1,3 + t 3,3,-2
• y = -4,-7,9 = 2,-1,3 + t 3,3,-2
• z = -4,-7,9 - 2,-1,3 = t 3,3,-2
• R: (-6,-6,6) = t (3,3-2)
• "A" Não pertece a reta BC

Slide 2