Answer:
[tex]a.b = -pq[/tex]
Step-by-step explanation:
We are given the following in the question:
[tex]a=[p,-p,2p], b=[2q,q,-q][/tex]
We have to find the dot product.
Formula:
[tex]a = [x_1,x_2,x_3]\\b = [y_1.y_2,y_3]\\a.b = x_1y_1 + x_2y_2 + x_3y_3[/tex]
Putting the corresponding values we get,
[tex]a.b = (p.2q) + (-p.q) + (2p.-q)\\= 2pq-pq-2pq\\=-pq[/tex]
[tex]a.b =-pq[/tex]
