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The plane denoted by `P_1 : 4x+7y+4z+81=0` is rotated through a right angle about its line of intersection with plane `P_2 : 5x+3y+10z=25`. If the plane in its new position be denoted by P, and the distance of this plane from the origin is d, then the value of `[(k)/(2)]` (where[.] represents greatest integer less than or equal to k) is....

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The plane denoted by P_(1) : 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane P_(2) : 5x+3y+ 10 z = 25 . If the plane in its new position is denoted by P , and the distance of this plane from the origin is d, then find the value of [k//2] (where [*] represents greatest integer less than or equal to k).

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25 . If the equation of the plane in its new position is x-4y+6z=K , then the value of K is

The plane x-2y+3z=0 is rotated through a right angle about the line of intersection with the plane 2x+3y-4z-5=0, find the equation of the plane in its new position.

The plane x- y - z = 2 is rotated through an angle pi/2 about its line of intersection with the plane x + 2y + z = 2 . Find its equation in the new position.

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

The plane x-y-z=4 is rotated through 90^(@) about tits line of intersection with the plane x+y+2z=4. Find its equation in the new position,

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25. The equation of the plane in its new position is a.x-4y+6z=106 b.x-8y+13z=103 c.x-4y+6z=110 d.x-8y+13z=105

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. A straight line L intersects perpendicularly both the lines : (x+2)/...

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  2. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

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  3. Let OA, OB, OC be coterminous edges of a cubboid. If l, m, n be the sh...

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  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

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  5. Let vec v(0) be a fixed vector and vecv(0)=[(1)/(0)]. Then for n ge ...

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  6. If a is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

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  7. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

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  8. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

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  9. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

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  10. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

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  11. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

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  12. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

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  13. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

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  14. In above problem find the largest possible value of |vec(PQ)|.

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  15. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

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  16. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

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