Determine if the function defines an inner product on R3, where u = (u1, u2, u3) and v = (v1, v2, v3). (Select all that apply.) u, v = 5u1v1 + 2u2v2 + u3v3

u1v1 + u2v2 + u3v3

Step-by-step explanation:

Inner product is a method of multiplying vectors, with the outcome being a scalar. \

u = (u1, u2, u3) and v = (v1, v2, v3)

Inner product  = u.v = (u1, u2, u3). (v1, v2, v3)

= u1v1 + u2v2 + u3v3

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour