Question

Find a ⋅ b.

a = 9i - 6j, b = 5i + 5j

Answer 1

Hello!

The answer is:
`a.b=15`

Why?

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!