Find a ⋅ b.
a = 9i - 6j, b = 5i + 5j
2 answers:
<h2>
Hello!</h2>
The answer is: 
<h2>Why?</h2>
It's a scalar product of vectors. The scalar product gives as result a or scalar number.
The scalar product consists in multiplying the axis components each other (x-component by x-component and so) and them performing an algebraic sum.
So, the scalar product of the given vectors will be:

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(9i - 6j)(5i + 5j)
Use FOIL:
45i^2 + 45ij - 30ij -30j^2
Combine like terms:
45i^2 - 30j^2 + 15ij
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