Vectors and represent the two adjacent sides of a triangle when placed tail-to-tail

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Vectors

\vec a = 3\hat i + 2\hat j + \hat k

and

\vec b = -\hat i + 4\hat j + 2\hat k

represent the two adjacent sides of a triangle when placed tail-to-tail. (i) Write an expression for the area of the triangle in terms of

\vec a

and

\vec b

. (ii) Calculate the numerical value of this area.