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If u=-2,-3,-3 and if v=-6,-4,10 what is the dot product

User SamRowley
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Answer:

Explanation:

The dot product of two vectors u = (a1, a2, a3) and v = (b1, b2, b3) is given by


u\cdot v=(a_1\cdot b_1)+(a_2\cdot b_2)+(a_3\cdot b_3)

Now in our case we have u = ( -2,-3,-3) and v = (-6,-4,10 ); therefore, the dot product is


u\cdot v=(-2\cdot-6)+(-3\cdot-4)+(-3\cdot10)
u\cdot v=(12)+(12)+(-30)
\begin{gathered} u\cdot v=24-30 \\ \end{gathered}
\boxed{u\cdot v=-6}

which is our answer!

User Shaunlim
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