Home
Class 12
MATHS
The volume of a tetrahedron prism ABCA1B...

The volume of a tetrahedron prism `ABCA_1B_1C_1` is equal to 3. Find the coordinates of the vertex `A_1`, if the coordinate of the base vertices of the prism are `A(1, 0, 1), B(2, 0, 0) and C(0, 1, 0)`.

A

(2, 2, 2)

B

(0, 2, 0)

C

(0, –2, 2)

D

(0, –2, 0)

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 3|38 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the in-centre of the triangle with vertices A(-1,12), B(-1,0) and C (4,0).

Find the lengths of the medians of a Delta ABC whose vertices are A(0, -1), B(2, 1) and C(0, 3).

The volume of a right triangular prism ABCA_(1)B_(1)C_(1) is equal to 3. If the position vectors of the vertices of thebase ABC are A(1,0,1),B(2,0,0) and C(O,1,0), then position vectors of the vertex A_(1), can be

Find the lengths of the medians of a ABC having vertices at A(0,-1),quad B(2,1) and C(0,3).

Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1) is

In Fig.,delta ABC is an equilateral triangle with coordinates of B and C as B(1,0) and C(5,0) . Find the coordinates of vertex A

if the coordinates of the mid points of the sides of a triangle are (1,2),(0,-1) and (2,-1). Find the coordinates of its vertices ':