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Miscellaneous·2021·Easy

ABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If α is the angle between AB and AG; β is the angle between AC and AG, then what is the value of cos2α + cos2β?

ABCDEFGH is a cuboid with base ABCD.
Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If α is the angle between AB and AG; β is the angle between AC and AG, then what is the value of cos2α + cos2β?

Options

  1. a.

    40/49

  2. b.

    64/49

    Correct answer
  3. c.

    120/49

  4. d.

    160/49

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