Question

Find an equation for the plane that

• (a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through (1,0,0).(1,0,0).
• (b) is perpendicular to v=(1,2,3)v=(1,2,3) and passes through (1,1,1).(1,1,1).
• (c) is perpendicular to the line l(t)=(5,0,2)t+(3,−1,1)l(t)=(5,0,2)t+(3,−1,1) and passes through (5,−1,0).(5,−1,0).
• (d) is perpendicular to the line l(t)=(−1,−2,3)t+(0,7,1)l(t)=(−1,−2,3)t+(0,7,1) and passes through (2,4,−1).

Answer 1

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