The direction cosines of the normal to the plane 2x - 3y + 6z = 7 are
1/7, 1/7, 1/7
2/7, -3/7, 6/7
-2/7, 3/7, -6/7
-1/7, -1/7, -1/7
The direction cosines of the perpendicular from the origin to the plane are
2, -3, -6
-2, 3, 6
-2/7, 3/7,6/7
2/7, -3/7, -6/7
Equation of a plane parallel to a given plane ax + by + cz + d = 0 is
bx + ay + cz + d = 0
bx - ay + cz + d = 0
ax + by + cz + k = 0
bx - ay + cz + k = 0
The equation of the plane whose intercept on the co ordinate axes are -2, 3 and 4 is
6x - 4y - 3z + 12 = 0
6x + 4y - 3z + 12 = 0
6x - 4y + 3z + 12 = 0
6x - 4y - 3z - 12 = 0
If the plane passes through the origin, then vector equation of plane is
None of these
The cartesian equation of the plane is
2x + 3y - 4z = 1
2x - 3y + 4z = 1
2x + 3y - 4z = 0
2x - 3y + 4z = 0
The condition for the planes a1x + b1y + c1z + d1 = 0 and a2 x + b2 y + c2z + d2 = 0 are parallel is
a1a2 + b1b2 + c1c2 = 0
a1a2 + b1b2 + c1c2 = 1
a1/a2 = b1/b2 = c1/c2
a1/a2 = b1/b2
The condition for the planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 are perpendicular is
The equation of any plane is of __________ degree in x, y and z
First
Second
Third
Zero
The vector equation of a planes which is at a distance of 6 units from the origin and has 2,-1, 2 as the direction ratios of a normal to it is