Question

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

Answer 1

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!