3. Determine whether the following statements are true or false. Prove if it is true or give counter example if it is false. (a.) If u and v inner product u -v = =, then the distance between them is...

Extracted text: 3. Determine whether the following statements are true or false. Prove if it is true or give counter example if it is false. (a.) If u and v inner product u -v = =, then the distance between them is 3. (b.) If u and v are vectors in R', then (u, v) = u¡V1 – U2U2 +U3V3 is an inner product on R'. p re vectors in R" such that their length are 1 and the (c.) If u and v are orthogonal vectors in an inner product space, then || u + v ||?=|| u ||² + || v ||?.