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erma4kov [3.2K]
4 years ago
9

Find a ⋅ b. a = 9i - 6j, b = 5i + 5j

Mathematics
2 answers:
guapka [62]4 years ago
6 0
<h2>Hello!</h2>

The answer is: a.b=15

<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:

a.b=ax*bx+ay*by=9*5+(-6*5)=45-30=15

Have a nice day!

DIA [1.3K]4 years ago
4 0
(9i - 6j)(5i + 5j)
Use FOIL:
45i^2 + 45ij - 30ij -30j^2
Combine like terms:
45i^2 - 30j^2 + 15ij
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