The angle between the two planes 3x-4y+5z =0 and 2x-y-2z=5 is
π/3
π/2
π/6
π/4
The direction ratios of the line x-y+z-5=0 and x-3y-6=0 are
3,1,-2
2,-4,1
3/√14, 1/√14 ,-2/√14
2/√41 , -4/√41 , 1/√41
Parallel
Coincident
Skew
Perpendicular
The direction cosines of x-axis are
(1,0,0,)
(0,0,1)
(0,1,0)
(1,1,1)
-13/4
-17/4
4
None of these
The direction cosines of any normal to the XY-plane are
(1,0,0)
(1,1,0)
If α ,β, γ are the angles which a half ray makes with the positive directions of the axes , then sin2α + sin2β + sin2γ =
1
2
-1
0
A point (x.y.z) moves parallel to XY plane Which of three variables x,y,z remain fixed
z
x
y
x and y
If the direction ratios of a line are 1,-3,2 ;then its direction cosines are
1/√14 , -3/√14 ,2/√14
1/√14 , 2/√14 , 3/√14
-1/√14 , 3/√14 , -2/√14
-1/√14 , -2/√14 , -3/√14
If A(1,2,3) , B(-1,-1,-1) be the points ,then the distance AB is
√5
√21
√29