Home
Class 12
MATHS
Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3,...

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three
points in a plane.
Area of the triangle ABC is (in sq. units)

A

`(sqrt(23571))/14`

B

`(sqrt(20384))/14`

C

`(sqrt(25312))/14`

D

`(sqrt(14321))/14`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION IV|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION V|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION II|3 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. The perpendicular distance from C to AB is

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. The co-ordinates of the foot of perpendicular drawn from point C to the line segment AB is

In Fig.3, the area of triangle ABC( in sq.units ) is :

Let A(a, 0), B(b, 2b +1) and C(0, b), b ne 0, |b| ne 1, be points such that the area of triangle ABC is 1 sq. unit, then the sum of all possible values of a is :

Let A(0, 1, 1), B(3, 1, 5) and C(0, 3, 3) be the vertices of a triangle ABC . Using vectors, show that triangle ABC is right angled at C.

Let A(1, 3), B(0, 0) and C(k, 0) be three points such that ar(triangle ABC) =3 sq units. Find the value of k.

A(1,2,5),B(5,7,9), and C(3,2,-1), are given three points.A unit Vector normal to the plane of the triangle ABC.

Let A(0,-1),B(0,3)andC(2,1) be three points Let Delta_(1) be the area of the triangle ABC and Delta_(2) be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A,B and C such that (Delta_(1))/(Delta_(2))=(1)/(x) Find the value of x.

If A(1,1),B(2,3),C(-1,1) are the points of P is a point such that the area of the quadrilateral PABC is 3 sq units then locus of P is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is