# What is the dot product of a vector and #<<1, 1, 1 >>#?

##### 1 Answer

Aug 13, 2017

The dot product of a first vector with a second vector comprising of unit vector is the sum of the components of the first vector

#### Explanation:

Suppose we have a vectors:

# bb(vec u) = << a, b, c >>#

# bb(vec v) = <<1, 1, 1 >>#

Please note that **not** a unit vector, it just has unit vector components

Then the dot product is:

# bb(vec u * vec v) = << a, b, c >> bb(*) <<1, 1, 1 >> #

# " " = (a)(1) + (b)(1) + (c)(1) #

# " " = a+b+c #