The vectors and represent two sides of a triangle taken from the same vertex

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The vectors

\vec a = 3\hat i + 4\hat j\,\text{m}

and

\vec b = -2\hat i + 5\hat j\,\text{m}

represent two sides of a triangle taken from the same vertex. Find the area of the triangle. (a)

23\,\text{m}^2

(b)

13.0\,\text{m}^2

(c)

11.5\,\text{m}^2

(d)

14.0\,\text{m}^2