Find the equation of the plane through t...

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

Text Solution

Verified by Experts

The correct Answer is:

`therefore` 7x+3y-z=17

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

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

Find the equation of the plane through the points (2, 1,-1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

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

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

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 equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)

Find the equation of a plane which is at a distance 3sqrt3 units from ...
Text Solution
|
If the line drawn from the point (-2, -1, -3) meets a plane at right a...
Text Solution
|
Find the equation of the plane through the points (2, 1, 0), (3, -2, -...
Text Solution
|
Find the equations of the two lines through the origin which intersect...
Text Solution
|
Find the angle between the lines whose direction cosines are given by ...
Text Solution
|
If a variable line in two adjacent positions has direction cosines l, ...
Text Solution
|
If O is the origin and A is (a, b, c), then find the direction cosines...
Text Solution
|
Two systems of rectangular axis have the same origin. If a plane cuts ...
Text Solution
|
Find the foot of perpendicular from the point (2, 3, -8) to the line (...
Text Solution
|
Find the distance of a point (2, 4, -1) from the line (x+5)/(1)=(y+3)/...
Text Solution
|
Find the length and the foot of perpendicular from the point (1,3/2,2)...
Text Solution
|
Find the equation of the line passing through the point (3, 0, 1) and ...
Text Solution
|
Find the equation of the plane through the points (2, 1,-1) and (-1, 3...
Text Solution
|
Find the shortest distance between the lines vecr =(8+3lambda) hati - ...
Text Solution
|
Find the equation of the plane which is perpendicular to the plane 5x ...
Text Solution
|
If the plane ax + by = 0 is rotated about its line of intersection wit...
Text Solution
|
Find the equation of the plane through the intersection of the planes ...
Text Solution
|
Show that the points bari-barj+3bark and 3(bari +barj+bark) are equidi...
Text Solution
|
vec(AB)=3bari-barj+bark and vec(CD)= -3bari+2barj+4bark are two vector...
Text Solution
|
Show that the straight lines whose direction cosines are given by 2l +...
Text Solution
|