Home
Class 11
MATHS
Three vertices of a parallelogram ABCD a...

Three vertices of a parallelogram ABCD are A(3, -1, 2), B(1, 2, -4) and C(-1, 1, 2). Find the coordinates of the fourth vertex.

Text Solution

Verified by Experts

The correct Answer is:
(1,-2,8)
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT GUJARATI|Exercise EXERCISE 12.3|5 Videos

  • CONIC SECTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|8 Videos

  • LIMITS AND DERIVATIVES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 13|33 Videos

Similar Questions

Explore conceptually related problems

Three consecutive vertices of a parallelogram ABCD are A(6, -2, 4), B(2, 4, -8), C(-2, 2, 4). Find the coordinates of the fourth vertex.

Three vertices of a parallelogram ABCD are A(1,2), B(2,4) and C(5,9) . Find the coordinates of the fourth vertex D

The vertices of a quadrilateral are A(1,0), B(7,0), C(6,3) and D(2,3). Find it's area

Three vertices of a parallelogram are a(6,2), L(3,9) and P(-1,4) . If the fourth vertex is X, find its coordinates. if (1) AL is a diagonal, (2) LP is a diagonal, (3) AP is a diagonal .

The two opposite vertices of a square are (-1,2) and (3,2) . Find the coordinates of the other two vertices.

If the coordinates of the midpoints of the sides of Delta ABC are (1,1), (2,-3) and (3,4) , find the coordinates of the vertices of Delta ABC

If the origin is the centroid of a triangle ABC having vertices A(a, 1, 3), B(-2, b, -5) and C(4, 7, c), Find the values of a, b, c.

The vertices of a triangle are A(10,4) ,B(-4,9) and C(-2,-1). Find the equation of the altitude through A.

Mid points of sides at DeltaABC are (-2, 3, 5), (4, -1, 7) and (6, 5, 3). Then find coordinates of the verticies A, B and C.

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).