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Angle between Lines and Planes...

Angle between Lines and Planes

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The angle between a line and a plane is defined as the

Comprehesion-I Let k be the length of any edge of a regular tetrahedron (all edges are equal in length). The angle between a line and a plane is equal to the complement of the angle between the line and the normal to the plane whereas the angle between two plane is equal to the angle between the normals. Let O be the origin and A,B and C vertices with position vectors veca,vecb and vecc respectively of the regular tetrahedron. The angle between any edge and a face not containing the edge is

Comprehesion-I Let k be the length of any edge of a regular tetrahedron (all edges are equal in length). The angle between a line and a plane is equal to the complement of the angle between the line and the normal to the plane whereas the angle between two plane is equal to the angle between the normals. Let O be the origin and A,B and C vertices with position vectors veca,vecb and vecc respectively of the regular tetrahedron. The angle between any two faces is

Comprehesion-I Let k be the length of any edge of a regular tetrahedron (all edges are equal in length). The angle between a line and a plane is equal to the complement of the angle between the line and the normal to the plane whereas the angle between two plane is equal to the angle between the normals. Let O be the origin and A,B and C vertices with position vectors veca,vecb and vecc respectively of the regular tetrahedron. The value of [vecavecbvecc]^(2) is

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

The angle between hati and line of the intersection of the plane vecr.(hati+2hatj+3hatk)=0andvecr.(3hati+3hatj+hatk)=0 is

IF a=(x^2-2x+4)/(x^2+2x+4) and equation of lines AB and CD be 3y=x and y=3x respectively, then for all real x, point P(a,a^2) (A) lies in the acute angle between lines AB and CD (B) lies in the obtuse angle between lines AB and CD (C) cannot be in the acute angle between lines AB and CD (D) cannot lie in the obtuse angle between lines AB and CD

Angle between the two planes of which one plane is 4x +y + 2z=0 and another plane containing the lines (x- 3)/2=(y-2)/3=(z-1)/lambda, (x-2)/3=(y-3)/2=(z-2)/3

if an angle between the line,and the plane, (x-1)/2=(y-2)/1=(z-3)/-2 and the plane x-2y-kz= 3 is cos^-1 (2sqrt2)/3 then a value of k is: