Home
Class 12
MATHS
Find a unit vector perpendicualr to the ...

Find a unit vector perpendicualr to the plane which passes through the point `P(1,-1,2),Q(2,0,-1)` and `R(0,2,1)`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(6))(2hati+hatj+hatk)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

Find equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2) and R(-3, 5, -4) .

Find the vector equation of the plane passing through the points (1, -2, 5) (0, -5, -1) and (-3, 5, 0). Transform the vector equation into cartesian equation.

Find the vector and cartesian equations of the plane which passes through the point (5, 2, - 4) and perpendicular to the line with direction ratios 2, 3, -1.

Find the equation of a line perpendicular to the line x-2y+ 3=0 and passing through the point (1,-2) .

Find the vector equations of the plane passing through the points R(2, 5, -3), S(-2,-3, 5) and T(5, 3, -3).

Find the vector equation for the line passing through the points (-1, 0, 2) and (3, 4, 6).

Find the vector and cartesian equations of the planes : (a) that passes through the point (1, 0, -2) and the normal to the plane is hati+hatj-hatk . (b) that passes through the point (1,4, 6) and the normal vector to the plane is hati-2hatj+hatk .

Find the equation of the plane through the points (2, 1, 0), (3, -2, -2) and (3, 1, 7).