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 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 normal to the plane 3x + 4y + 12 z = 52 are:
3, 4, 12
-3, -4, -12
3/13, 4/13, 12/13
If A ( -1, -1, -1 ) and B ( 1, 2, 3 ) are the points, then distance between A and B, is ________.
√5
√21
√29
√3
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 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 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
A plane meets the co - ordinates axis at A, B and C such tht the centroid of the triangle is ( 3, 3, 3 ). The equation of the plane is _______.
x + y + z = 3.
x+ y + z = 9
3x + 3y + 3z = 1
9x + 9y + 9z = 9
The direction ratios of the lines x - y + z - 5 = 0 and x - 3y - 6 = 0 are ______.
( 3, 1, - 2 )
( 2, - 4, 1 )