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

Question

3 years ago

5

u, v = 5u1v1 + 2u2v2 + u3v3

1 answer:

n200080 [17] · Answer 1 · 2022-07-25T12:29:59+03:00

7 0

Answer:

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