Question

Find the dot product, a · b.
a = 6i + 5j, b = -5i + 4j

Answer 1

multiply the scalars of the i components
multiple the scalars of the j components
add both of those products to find the dot product of a and b

Answer 2

Right, as said above

\[\large \vec{a} = <a_i, a_j>\]
\[\large \vec{b} = <b_i, b_j>\]
\[\large a \cdot b = (a_i \times b_i + a_j \times b_j)\]