Question

In: Math

(a).    Check <u,v> =2u1v1+3u2v2+u3v3 is inner product space or not. If yes assume u= (8,0,-8) &...

(a).    Check

<u,v> =2u1v1+3u2v2+u3v3

is inner product space or not.

If yes assume u= (8,0,-8) & v= (8,3,16)

Find

  1. ||u||
  2. ||v||
  3. |<u, v>|2
  4. Unit vector in direction of u and v
  5. Distance (u, v)
  6. Angle between u and v
  7. Orthogonal vectors of u and v.

(b).    Show that

<u,v> =u1v1-2u2v2+u3v3

Solutions

Expert Solution

milcah answered 3 years ago
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