Let , , and . The value of…

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

Problem

Let

|\vec a_1|=3

|\vec a_2|=5

, and

|\vec a_1+\vec a_2|=5

. The value of

(2\vec a_1+3\vec a_2)\cdot(3\vec a_1-2\vec a_2)

is (1)

-106.5

(2)

-99.5

(3)

-112.5

(4)

-118.5