Using vectors, find the area of ΔABC whose vertices are A(1, − 1, 2), B(2, 1, − 1) and C(3, − 1, 2).

Question

Philoid · Accepted 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