The line : X - 3t, y = 1 - 2t, z = 2 - t is perpendicular to the plane: X - y - z = 1.[g]

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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True or False line and plane perpendicular

The line : X =
- 3t, y = 1 - 2t, z = 2 - tis perpendicular to the plane: X - y - z = 1.[g]
Transcribed Image Text:The line : X = - 3t, y = 1 - 2t, z = 2 - tis perpendicular to the plane: X - y - z = 1.[g]
Expert Solution
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Given that equation of line x=-3t ,y=1-2t ,z=2-t and equation of plane x-y-z=1To chaque the line and plane are perpendicular or notSolution :equation of linex-3=y-1-2=z-2-1=t equation of plane  x-y-z=1dicection ratio of line -3,-2,-1normal  vector of plane 1,-1,-1if line and plane are perpendicular then direction ratio are same 

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