If P is the point (2,1,6), then find the...

If P is the point (2,1,6), then find the point Q such that PQ is perpendicular to the plane passing through the points (2,1,0), (5,0,1), (4,1,1) and the mid point of PQ lies on it.

Topper's Solved these Questions

RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING
USHA PUBLICATION|Exercise EXERCISE|103 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of planes passing throught the points (2,1,3),(3,2,1) and (1,0,-1)

Write the equation of the plane passing through the point(1,0,0),(0,2,0)and (0,0,3).

Find the equation of planes passing throught the points (-1,0,1),(-1,4,2) and (2,4,1)

Find the equation of planes passing throught the points (6,-1,1) , (5,1,2) and (1,-5,-4)

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

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE

Prove the following by vector method. Median to the base of an isoscel...
Text Solution
|
Prove the following by vector method. In a triangle AOB, mangleAOB = 9...
Text Solution
|
show that the direction of cosines of a vector equally inclined to the...
Text Solution
|
If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).
Text Solution
|
If D is the mid point of side BC of a triangleABC, show by vector meth...
Text Solution
|
Find the scalar components of a unit vector which is perpendicular to ...
Text Solution
|
Decompose the vector 6hati-3hatj-6hatk into vectors which are parallel...
Text Solution
|
Express 2hati-hatj+3hatk as the sum of a vector parallel, and a vector...
Text Solution
|
Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...
Text Solution
|
Find the angle between the following pair of the planes.2x+y+2z-4=0and...
Text Solution
|
Show that the join of the points (6,-4,4) and (0,0,-4) intersects the ...
Text Solution
|
Show that the points (2,3,-5) and (3,4,7) lie on the opposite side of ...
Text Solution
|
Find dy/dx if y=log(sec x+tan x).
Text Solution
|
Obtain the equation of the line through the point (1, 2, -3) and perpe...
Text Solution
|
Find the shortest distance between the lines frac[x][2]=frac[y][-3]=fr...
Text Solution
|
Find the equation of the plane passing through the line frac[x+1][-3]=...
Text Solution
|
Find the equation of the plane containing the line frac[x+3][3]=frac[y...
Text Solution
|
Show that lines vecr = (hat(i) + hat(j) - hat(k)) + lambda(3hat(i) - h...
Text Solution
|
If P is the point (2,1,6), then find the point Q such that PQ is perpe...
Text Solution
|
The plane lx+my=0 is rotated about its line of intersection with the p...
Text Solution
|