Q. 18 A

Using vectors, find the area of ΔABC whose vertices are

A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5)

Answer :

Through the vertices we get the adjacent vectors as,



The area of the triangle = , where a and b are it’s adjacent sides vectors.


Area =



Here,


We


have



Thus, substituting the values of ,


in equation (i) we get




sq units


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