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

The value of
`a \cdot b =12`

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`