181.Find the vector equation of the line through the origin which is perpendicular to the planeÂ
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182.Find the vector and cartesian equations of the planes: that passes through the point (1, 0, – 2) and the normal to the plane is .
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183.Find the vector and cartesian equations of the planes: that passes through the point (1, 4, 6) and the normal vector to the plane is .
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Long Answer Type
184.Find the vector equation of the line passing through the point (3, 1, 2) and perpendicular to the plane  Find also the point of intersection of this line and plane.Â
185.Find the angle between the two planes 3 x – 6 y + 2 z = 7 and 2 x + 2 y – 2 z = 5.
The equations of given planes are 3 x – 6 + 2 z = 7 and 2 x + 2 y – 2 z = 5 ∴  a1 = 3, b1 = – 6, c1 = 2 and a2 = 2, b2 = 2, c2 = – 2 Now,          Â
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186.Find the angle between the two planes 2 x + y – 2 z = 5 and 3x – 6 y – 2 z = 7 using vector method.
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187.Find the angle between the planes whose vector equations are
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188.Find the angle between the planes whose vector equations are
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189.Find the angle between the planes
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190.In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0
Short Answer Type
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Long Answer Type
 Find also the point of intersection of this line and plane.Â
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