# Consider the following vectors: v = 4i, w = j, how do you find the dot product v·w?

Feb 3, 2016

0

#### Explanation:

here,
$v = 4 i = 4 i + 0 j + 0 k$

$w = j = 0 i + j + 0 k$

then,
$v \cdot w = \left(4 \cdot 0\right) + \left(0 \cdot 1\right) + \left(0 \cdot 0\right) = 0 + 0 + 0 = 0$