Solve the problem.With the given positive numbers, show that vectors 
and 
define an inner product in ?2 using the 4 axioms.Set 
= 3u1v1 + 7u2v2
What will be an ideal response?
Axiom 1: 
= 3u1v1 + 7u2v2 = 3v1u1 + 7v2u2 = 
Axiom 2: If w = (w1, w2), then 
= 3(u1 + v1)w1 + 7(u2 + v2)w2
= 3u1w1 + 7u2w2 + 3v1w1 + 7v2w2
= 
+ 
Axiom 3: 
= 3c(u1)v1 + 7(cu2)v2 = c(3u1v1 + 7u2v2) = c 
Axiom 4: 
= 3u12 + 7u22 ? 0, and 3u12 + 7u22 = 0 only
if u1 = u2 = 0. Also, 
= 0.
You might also like to view...
Write an equivalent expression using radical notation and, if possible, simplify. Assume that even roots are of nonnegative quantities.165/4
A. 1024
B. 
C. 32
D. 35
Write the whole number in word form.87,055
A. eighty-seven thousand, fifty-five B. eighty-seven hundred thousand, fifty-five C. eighty-seven hundred, fifty-five D. eighty-seven thousand, five hundred five
Solve the rational inequality. Express the solution using interval notation.
< 0
A. (-?, -6) B. (-?, -6) ? (5, ?) C. (-6, 5) D. (5, ?)
Graph the function. State whether it is increasing, decreasing, or constant..h(x) = - 
x - 1
A. decreasing
B. decreasing
C. decreasing
D. increasing