Question

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

Answer 1

u1v1 + u2v2 + u3v3

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