# What is the dot product of  (-300i + 200j - 150k) and (i + j -7k)?

Dec 2, 2016

$A \cdot B = 950$

#### Explanation:

$A = \left(a i + b j + c k\right)$

B=(di+ej+fk))

$A \cdot B = a \cdot d + b \cdot e + c \cdot f$

$A \cdot B = \left(\left(- 300 \cdot 1\right) + \left(200 \cdot 1\right) + \left(- 150 \cdot \left(- 7\right)\right)\right)$

$A \cdot B = - 300 + 200 + 1050$

$A \cdot B = 950$