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The vectors AB = 3i - 2j + 2k and BC = -...

The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides of a parallelogram. The angle between its diagonals is

A

`(pi)/(2)`

B

`(pi)/(3)` or `(2 pi)/(3)`

C

`(3 pi)/(4)` or `(pi)/(4)`

D

`(5 pi)/(6)` or `(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k

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    are linearly dependent
    B
    are linearly independent
    C
    form sides of a triangle
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    `sqrt(14)`
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    `sqrt(18)`
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    `sqrt(25)`
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    `sqrt(29)`
  • If a = 3i - 2j + k, b = -i + j + k then the unit vector parallel to the vector a + b is

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    `(2)/(3)i-(1)/(3)j+(2)/(3)k`
    B
    `(2)/(5)i-(1)/(5)j+(2)/(5)k`
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