Find a ⋅ b. a = 9i + 5j, b = 4i + 3j
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.