# How do you compute the dot product for #<0, 3>*<4, -2>#?

##### 1 Answer

Jan 13, 2017

# << 0,3 >> * << 4,-2 >> = -6#

#### Explanation:

**Inner Product Definition**

If

# ulu * ulv = u_1v_1 + u_2v_2 #

Inner Product = 0#hArr# vectors are perpendicular

So,

Then the inner product is given by;

# ulu * ulv = << 0,3 >> * << 4,-2 >> #

# " "= (0)(4) + (3)(-2)#

# " "= 0-6#

# " "= -6#