Three Dimensional Geometry
The coordinates of the point where the line through the points A(5,1,6) and B(3,4,1) crosses the yz-plane is
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The straight line 3x−3=1y−2=0z−1 is (a)Parallel to x-axis (b)Parallel to the y-axis (c)Parallel to the z-axis (d)Perpendicular to the z-axis
Find the equation of the plane through the points (23,1)and(4,−5,3)
and parallel to the x-axis.
If θ is the acute angle between the diagonals of a cube, then which one of the following is correct?
Find the equation of the image of the plane x−2y+2z−3=0
in plane x+y+z−1=0.
A mirror and a source of light are situated at the origin 0 and at a point on OX respectively. A ray of light from the source strikes the mirror and is reflected. If the direction ratios of the normal to the plane are 1, -1, 1, then direction consines of the reflected rays are
If the lines −3x−1=2ky−2=−2z−3and3kx−1=1y−5=−5z−6 are at right angle, then find the value of k˙
The vector equation of the line of intersection of the planes r⃗ =b⃗ +λ1(b⃗ −a⃗ )+μ1(a⃗ −c⃗ ) and r⃗ =b⃗ +λ2(b⃗ −c⃗ )+μ2(a⃗ +c⃗ )a⃗ ,b⃗ ,c⃗ being non-coplanar vectors, is
Reduce the equation of line x−y+2z=5adn3x+y+z=6
in symmetrical form.
Find the line of intersection of planes x−y+2z=5and3x+y+z=6.