141.If O be the origin and the coordinates of P be (1, 2, -3), then find the equation of the plane passing through P and perpendicular to OP.
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142.If the line drawn from (4, –1, 2) meets a plane at right angles at the point (–10, 5, 4), then find the equation of the plane.
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143.Find the vector and Cartesian equation of the plane passing through the point (1, 2, 3) and perpendicular to the line with direction ratios 2, 3, - 4.
144.Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, –1.
Here, The vector equation of plane is or Take or
which is the cartesian equation of the plane.
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145.Find the cartesian equation of the plane through the point with position vector and perpendicular to the vector .
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146.
Find the equation of a plane which passes through (2, –3, 1) and is perpendicular to the line through the points (3, 4, –1) and (2,–1, 5).
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147.Find the cartesian equation of the following plane:
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148.Find the cartesian equation of the following plane:
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149.Find the cartesian equation of the following plane:
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150.
Find the angle between the planes 2x – y + z = 6 and x + y + 2z = 7
Short Answer Type
and perpendicular to the vector 
.
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