If a, b and c are three non-zero vectors such that each one of them being perpendicular to the sum of the other two vectors, then the value of is
2
Let u, v and w be vectors such that u + v + w = 0. If , then u - v + v · w + w · u is equal to
0
- 25
25
50
Equation of the plane through the mid-point of the line segment joining the points P(4, 5, - 10), Q(- 1, 2, 1) and perpendicular to PQ is
The angle between the straight lines and x = 3r + 2; y = - 2r - 1; z = 2, where r is a parameter, is
Equation of the line through the point (2, 3, 1) and parallel to the line of intersection of the planes x - 2y - z + 5 = 0 and x + y + 3z = 6 is
The angle between a normal to the plane 2x - y + 2z - 1 = 0 and the Z-axis is
C.
Given equation of plane is
Zx - y + 2z - 1 = 0 ...(i)
DR's of normal to the given plane is (2, - 1, 2)
Given plane meet the z-axis.
Put x = 0, y = 0 in Eq. (i), we get
2(0) - 0 + 2z - 1 = 0
So, the point on z-axis is .
Angle between normal to the plane and z-axis,
Foot of the perpendicular drawn from the origin to the plane 2x - 3y + 4z = 29 is
(5, - 1, 4)
(7, - 1, 3)
(5, - 2, 3)
(2, - 3, 4)