The direction cosines of the line joining the points (4,3,-5) and (-2,1,-8) are _____.
(6/7 , 2/7 , 3/7 )
(2/7 , 3/7 , 6/7 )
(6/7 , 3/7 , 2/7 )
None of these
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 intercepts of the plane 5x - 3y + 6 z = 60 on the co - ordinates axes are ________.
( 10, 20, -10 )
( 10, -20, 12 )
( 12, -20, 10 )
( 12, 20, -10 )
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 cos α, cos β cos γ are direction cosines of a straight line, then the value of sin2 α + sin2 β + cos2 γ is ______.
1
2
3/2
4/3
The direction ratios of the lines x - y + z - 5 = 0 and x - 3y - 6 = 0 are ______.
( 3, 1, - 2 )
( 2, - 4, 1 )
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
The equation of a plane, which cuts equal intercepts of unit length on the axes, is _______.
x + y + z = 0
x + y + z = 1
x + y - z = 1
x/a+ y/a + z/a = 1
The direction cosines of the nromal to the plane 3x - 4y + 5z = 0.
3/5, -4/5, 1/5
The direction cosines of the normal to the plane x + 2y – 3z + 4 = 0 are:
