ANSWER
[tex]a.b = 51[/tex]
EXPLANATION
The given vectors are:
[tex]a = 9i + 5j[/tex]
and
[tex]b = 4i + 3j[/tex]
To find the dot product of the two vectors, we multiply the corresponding components and add them.
[tex]a.b = 9 \times 4 + 5 \times 3[/tex]
This implies that,
[tex]a.b = 36+ 15[/tex]
[tex]a.b = 51[/tex]
Therefore the dot product of the two vectors is 51.
