Three Dimensional Geometry
The plane x+3y+13=0 passes through the line of intersection of the planes 2x−8y+4z=pand3x−5y+4z+10=0. If the plane is perpendicular to the plane3x−y−2z−4=0, then the value of p is equal to
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Find the length of the perpendicular drawn from the point(5,4,−1)
to the line r=i^+λ(2i^+9j^+5k^),
is a parameter.
Find the equation of a plane containing the line of intersection of the planes x+y+z−6=0and2x+3y+4z+5=0
passing through (1,1,1)
If the lines 2x−1=3y+1=4z−1and1x−3=2y−k=1z
intersect, then find the value of k˙
The line, x−23=y+12=z−1−1 intersects the curve xy=c2,z=0 if c is equal to
The angle between the line x−2a=y−2b=z−2c and the plane ax+by+cz+6=0 is
What are the direction cosines of a line which is equally inclined to the positive directions of the axes?
What is the angle between the planes2x−y+z=6 andx+y+2z=3?
L1 and L2 are two lines whose vector equations are L1:r⃗ =λ((cosθ+3√)i^+(2√sinθ)j^+(cosθ−3√)k^)L2:r⃗ =μ(ai^+bj^+ck^), where λ and μ are scalars and α is the acute angle between L1 andL2. If the angle ′α′ is independent of θ then the value of ′α′ is