The Cartesian equation of the plane passing through the point (3,−2,−1) and parallel to the vectors ¯¯b=¯i−2¯j+4¯¯¯k and ¯¯c=3¯i+2¯j−5¯¯¯k is
A
2x−17y−8z+63=0
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B
3x+17y+8z−36=0
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C
2x+17y+8z+36=0
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D
3x−16y+8z−63=0
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Solution
The correct option is C2x+17y+8z+36=0 ∣∣
∣∣x−x1y−y1z−z1a1b1c1a2b2c2∣∣
∣∣=0 ∣∣
∣∣x−3y+2z+11−2432−5∣∣
∣∣=0 2x+17y+8z+36=0