Home
Class 12
MATHS
If P=(0,1,0) and Q=(0,0,1) then the pro...

If `P=(0,1,0) and Q=(0,0,1)` then the projection of `PQ` on the plane `x+y+z=3` is

A

`2`

B

`3`

C

`sqrt(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the ratio in which the plane ax+by+cz+d=0 divides the join of the points P(x_1,y_1,z_1) and Q(x_2,y_2,z_2) lying on the plane. Hence, show that the points P(1,-2,3) and Q(0,0,-1) lie on opposite sides of the plane 2x+5y+7z=3.

Does the line x=y=0 lie in the plane z=0.

If P,Q,R,S are the points (1,-1,0),(2,1,-1),(-3,2,2) and (0,-2,-1) respectively. Find the projection of PQ on RS.

Distance between the point (10, 0 , 1) and the plane 3y + 4z + 1 = 0 is

Let C_1 and C_2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let P be any point on C_1 and Q be any point C_2 . Let P_1 and Q_1 be the reflection of P and Q, respectively w.r.t the line y = x then prove that P_1 lies on C_2 and Q_1 lies on C_1 and PQ >= [P P_1, Q Q_1] . Hence or otherwise , determine points P_0 and Q_0 on the parabolas C_1 and C_2 respectively such that P_0 Q_0 <= PQ for all pairs of points (P,Q) with P on C_1 and Q on C_2

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

Find the equation of the plane through the intersection of the planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2, 2, 1 ).

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

The orthogonal projection A' of the point A with position vector (1, 2, 3) on the plane 3x-y+4z=0 is