Q32 of 49 Page 235

The sine of the angle between the straight lineand the plane 2x – 2y + z = 5 is

Equation of line is



The line is having a direction vector


And Given equation of plane is 2x – 2y + z = 5


Normal to this plane is,



Also, we know the angle ϕ between the line with direction vector b and the plane with normal vector n is






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If the directions cosines of a line are k,k,k, then

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The distance of the plane from the origin is

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The reflection of the point (α, β, γ) in the xy– plane is

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The area of the quadrilateral ABCD, where A(0,4,1), B (2, 3, –1), C(4, 5, 0)and D (2, 6, 2), is equal to