The direction cosines of the normal to the plane x + 2y – 3z + 4 = 0 are:
The distance of a point ( 3, 4, 5 ) from the y – axis is ______.
√34
√41
4
5
The diection ratios of the line segment joining from origin to the point ( 2, -3, 6 ) is _______.
( 1, 0, 0 )
( 2, 2, 6 )
( 2, -3, 6 )
( 0, -1, 6 )
The shortest distance of the point ( a, b, c ) from the x – axis is _______.
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
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
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 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 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 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
