The direction ratios of the lines x - y + z - 5 = 0 and x - 3y - 6 = 0 are ______.
( 3, 1, - 2 )
( 2, - 4, 1 )
If the plane 3x - 2y + 2z + 17 = 0 and 4x + 3y - kz - 25 = 0 are mutually perpendicular, then the value of k is _______.
3
-3
9
-6
If the line makes angle α, β and γ with x- axis, y - axis and z - axis, then the value of cos 2α + cos 2 β + cos 2 γ is _____.
-1
1
-2
2
The projection of line segment joining the points ( -5, 1, 3 ) and ( 2, 3, 5 ) on a line with direction cosines 1/3. 1/3, 2/3 is.
1/3
7/3
11/3
13/3
If cos α, cos β cos γ are direction cosines of a straight line, then the value of sin2 α + sin2 β + cos2 γ is ______.
3/2
4/3
The direction ratios of the line segment joining the points ( 3, -2, 4 ) and ( 4, 1, 3 ) is _____.
( -1, 1, 2)
( 3, 2, -3 )
( 1, 3, -1)
( 4, 2, 7 )
The direction cosines of the normal to the plane x + 2y – 3z + 4 = 0 are:
The direction ratios of the line segment joining the points is____.
( -1, -1 , -1 )
( 1, -3, 4 )
(2, 0, -1)
( 1, 3, 4 )
The co- ordinates of the point which divides the line segment joining the points ( 5, 4, 2 ) and ( -1, -2, 4 ) in the ratio (2 : 3 ) externally is _____.
( 13/5, 8/5, 14/5)
( 17, 16, -2)
( 17/5, 16/5, -2/5 )
( 17, -8, -14 )
The direction cosines of the normal to the plane 3x + 4y + 12 z = 52 are:
3, 4, 12
-3, -4, -12
3/13, 4/13, 12/13
