Question

Find a ⋅ b. a = 6i - 6j, b = 4i + 2j

Answer 1

You multiply the two vectors to get an answer of 12.

Answer 2

Answer:

The value of $a \cdot b =12$          

Step-by-step explanation:

Given : $a = 6i-6j, b = 4i + 2j$

To find : The value of a ⋅ b?

Solution :

We know that, The dot product of two vectors in form

$v=ai+bj$ and $w=ci+dj$

Then, $v \cdot w = ac + bd$

Applying the same in the given situation,

a=6 ,b=-6 ,c =4 ,d=2 and v=a , w=b

Substitute in the formula,

$a \cdot b = (6)(4) + (-6)(2)$

$a \cdot b =24-12$          

$a \cdot b =12$

Therefore, The value of $a \cdot b =12$