# Distribution Property of Dot Product

Since the dot product has the property that for three vectors $a,b,c$

$a \cdot (b+c) = a \cdot b + a \cdot c$

Is that also true for $(a+b) \cdot (a+b) = a\cdot a + 2a\cdot b + b\cdot b$

?

Thank you

$b.a=a.b$ as it is completely scalar.