Consider the following vectors: v = 3i + 4j, w = 4i + 3j, how do you find the dot product v·w?

1 Answer
Jan 5, 2016

Answer:

#24#

Explanation:

Definition : Let #v = (v_1,v_2,....,v_n) and w=(w_1,w_2,...,w_n)# be any 2 vectors in #RR^n or CC^n#.
Then the Euclidean inner product (also called dot product) of #v# with #w#is a real or complex number defined by
#v*w=v_1w_1+v_2w_2+.....+v_nw_n#.

So in this particular case we work in #RR^2# and get,

#(3,4)*(4,3)=(3xx4)+(4xx3)=12+12=24in RR#.