Home
Class 12
MATHS
Find x such that the four points A(3, 2,...

Find x such that the four points A(3, 2, 1), B(4, x, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar.

Text Solution

Verified by Experts

The correct Answer is:
x = 5
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practive Work|36 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.4|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Show that the four points A(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) are coplanar and find the equation of the common plane.

If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (-4, 3, -6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

Find the equations of the planes that passes through three points. (a) (1, 1, -1), (6, 4, -5), (-4, -2, 3) (b) (1, 1, 0), (1, 2, 1), (-2, 2, -1)

If the points A(-1, 3, 2), B(-4, 2, -2) and C(5, 5, lambda ) are collinear then find the value of lambda .

If a,b and c are non-coplanar vectors, then prove that the four points 2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c are coplanar.

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2), is equal to ........

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD, then

Find the value of x if the vectors (x,x+1,x+2),(x+3,x+4,x+5) and (x+6,x+7,x+8) are coplanar.