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QUESTION

Suppose the n -vectors a , b , and c satisfy a c and b c . Which of the following statements must hold?

Suppose the n  -vectors a , b , and c satisfy a⊥c and b⊥c . Which of the following statements must hold? (That is, are true for any a, b and c that satisfy conditions.)

  1. a⊥b
  2. (a+b)⊥c
  3. (a+c)⊥(b+c)
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