Area Of A Triangle

Step 1: Using the formula for the area of a triangle.
The area of a triangle with vertices

(x_1%2C%20y_1%2C%20z_1)%2C%20(x_2%2C%20y_2%2C%20z_2)%2C%20(x_3%2C%20y_3%2C%20z_3)

is given by:

%5Ctext%7BArea%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Cleft%7C%20%5Cvec%7BA%7D%20%5Ctimes%20%5Cvec%7BB%7D%20%5Cright%7C

where

%5Cvec%7BA%7D

and

%5Cvec%7BB%7D

are vectors formed by the coordinates of the vertices. Step 2: Computing the cross product.
After calculating the vectors and their cross product, the area is found to be

%5Csqrt%7B6%7D

. Step 3: Conclusion.
Thus, the correct answer is (C).

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Area Of A Triangle

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs