Vectors and form two sides of a triangle whose area is square units

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

Problem

Vectors

\mathbf{a}=3\mathbf{i}-4\mathbf{j}

and

\mathbf{b}=p\mathbf{i}+2\mathbf{j}

form two sides of a triangle whose area is

5

square units. The positive value of

p

is (a)

4

(b)

6

(c)

1

(d)

\dfrac{7}{2}