Verified Answer :

\(\mathbf a\cdot\mathbf b=9\times4+5\times3=36+15=51\)

ANSWER

\(a.b = 51\)


EXPLANATION


The given vectors are:


\(a = 9i + 5j\)
and

\(b = 4i + 3j\)


To find the dot product of the two vectors, we multiply the corresponding components and add them.


\(a.b = 9 \times 4 + 5 \times 3\)


This implies that,

\(a.b = 36+ 15\)


\(a.b = 51\)


Therefore the dot product of the two vectors is 51.