Equation of the plane through three poin...

Equation of the plane through three points A, B and C with position vectors `-6i+3j+2k, 3i-2j+4k and 5i+7j+3k` is equal to

A

`rcdot(i-j+7k)+23=0`

B

`rcdot(i+j+7k)=23`

C

`rcdot(i+j-7k)+23=0`

D

`rcdot(i-j-7k)=23`

Text Solution

Verified by Experts

The correct Answer is:

(a)

Promotional Banner

Promotional Banner

Topper's Solved these Questions

THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise For Session 4|7 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

The equation of the plane passing through three points A,B,C with position vectors -6hat(i)+3hat(j)+2hat(k),3hat(i)-2hat(j)+4hat(k),5hat(i)+7hat(j)+3hat(k) , is

The points A, B and C with position vectors a=3i-4j-4k,b=2i-j+kandc=i-3j-5k , respectively are

Equation of the plane passing through the origin, and parallel to the vectors i+3j -k and j+k, is

Equation of the plane passing through the points i+j-2k,2i-j+kandi+2j+k is

A unit vector perpendicular to the plane passing through the points whose position vectors are 2i-j+5k,4i+2j+2k and 2i+4j+4k is

Values of a for which the points A, B, C with position vectors 2i - j+k, i - 3j - 5k and ai - 3j +k, respectively, are the vertices of a right angled triangle with C = (pi)/2 are

The Cartesian equation of the plane passing through the point (3,-2,-1) and parallel to the vectors vec b=i-2j+4k and vec c=3i+2j-5k

The equation of the plane passing through the points 3i-5j-k,-i+5j+7k and 3i-j+7k is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)

A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...
Text Solution
|
The direction ratios of the line I1 passing through P(1, 3, 4) and per...
Text Solution
|
Equation of the plane through three points A, B and C with position ve...
Text Solution
|
OABC is a tetrahedron. The position vectors of A, B and C are I, i+j a...
Text Solution
|
The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...
Text Solution
|
A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...
Text Solution
|
Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...
Text Solution
|
The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...
Text Solution
|
The angle between the lines whose direction cosines are given by the ...
Text Solution
|
The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...
Text Solution
|
The cartesian equations of the plane perpendicular to the line (x-1)/(...
Text Solution
|
Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...
Text Solution
|
A plane makes interceptsOA, OB and OC whose measurements are a, b and ...
Text Solution
|
The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...
Text Solution
|
Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...
Text Solution
|
The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...
Text Solution
|
The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...
Text Solution
|
The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...
Text Solution
|
A, B, C and D are four points in space. Using vector methods, prove th...
Text Solution
|
Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...
Text Solution
|