Find a + b , 2a + 3b , | a | , | a − b | . a = i + 4j − 4k , b = − 4i − j + 5k

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  1. Find a + b , 2a + 3b , | a | , | a − b | . a = i + 4j − 4k , b = − 4i − j + 5k
  2. Find a unit vector that has the same direction as the given vector. 4 i − j + 8 k
  3. Find a vector that has the same direction as ⟨ − 6, 6, 2 ⟩ but has length 6.
  4. For what values of b are the given vectors orthogonal?
    (Enter your answers as a comma-separated list.) ⟨ − 7, b, 3 ⟩, ⟨ b, b2, b ⟩
    b =?