Question

Find a.b. a=[4,1,1/4], b=[6,-3, -8]

Answer 1

`a.b =19`

Explanation:

We are given the following in the question:

`a=\langle 4,1,(1)/(4) \rangle, b=\langle 6,-3,-8\rangle`

We have to find the dot product.

Formula:

`a = \langle x_1,x_2,x_3\rangle\\b = \langle y_1.y_2,y_3\rangle\\a.b = x_1y_1 + x_2y_2 + x_3y_3`

Putting the corresponding values we get,

`a.b = (4.6) + (1.-3) + ((1)/(4).-8)\\= 24-3-2\\=19`

`a.b =19`