Question

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

Answer 1

Answer:

$a.b =19$

Step-by-step explanation:

We are given the following in the question:

$a=\langle 4,1,\frac{1}{4} \rangle, b=\langle 6,-3,-8\rangle$

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,

$a.b = (4.6) + (1.-3) + (\frac{1}{4}.-8)\\= 24-3-2\\=19$

$a.b =19$