Home
Class 12
MATHS
Find the area of the triangle with vert...

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

Text Solution

AI Generated Solution

To find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5), and C(1, 5, 5), we can follow these steps: ### Step 1: Find the vectors AB and AC First, we need to find the vectors AB and AC. - The vector AB can be calculated as: \[ \vec{AB} = \vec{B} - \vec{A} = (2 - 1, 3 - 1, 5 - 2) = (1, 2, 3) ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Find the area of the triangle whose vertices are A(1, 2, 3), B(2, –1, 1)and C(1, 2, –4).

Knowledge Check

  • What is the area of the triangle with vertices (1, 2, 3), (2, 5, -1) and (-1, 1, 2) ?

    A
    `(sqrt155)/(2)`
    B
    `(sqrt175)/(2)`
    C
    `(sqrt155)/(4)`
    D
    `(sqrt175)/(4)`

    • Similar Questions

    Explore conceptually related problems

    Using vectors, find the area of the DeltaABC with vertices A(1, 2, 3), B(2, -1, 4) and C(4, 5, -1)

    Find the area of the triangle with vertices (3,8),(-4,2) and (5,1) .

    Find the area of the triangle whose vertices are A(1,2,3) , B(2,3,1) and C(3,1,2)

    Find the area of the triangle with vertices : (3,8),(-4,2),(5,1) .

    Using vectors,find the area of triangle with vertices A(2,3,5),B(3,5,8) and C(2,7,8).

    Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

    Using intergration find the area of the area of the triangle whose vertieces are A(1,3), B(2,5)and C( 3,4)

    Home
    Profile