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welcome thereamp;#39;s gentlemen so what iamp;#39;d like to do is show you how to apply operations when they involve the dot product so um we already covered kind of the dot product you know basically just finding the dot product between two vectors but what about if we add some additional operations you know multiplying by a separate um vector or a multiple or a scalar or adding before we do that so just a kind of a little bit of extension of applying the dot product so if you um if you remember just want to make sure i got everything working okay um so i have my vector u i have my vector v and then as well as i went up with the formula for the dot product just remember but remember the v the dot product produces a scalar does not produce a vector very important a lot of students sometimes forget and remember that dot represents the dot product not multiplication thereamp;#39;s your formula component one times component two plus component two times the sec times component two okay