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I : The vector 6i + 2j + k, 2i - 9j + 6k...

I : The vector 6i + 2j + k, 2i - 9j + 6k are mutually perpendicular.
II : The vectors I + 2j - , 2i + j + k are mutually perpendicular

A

only I is ture

B

Only II is ture

C

both I and II are true

D

Neither I nor II are true

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    are linearly dependent
    B
    are linearly independent
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    form sides of a triangle
    D
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  • I : If the vectors a = (1, x, -2), b = (x, 3, -4) are mutually perpendicular, then x = 2 II : If a = I + 2j + 3k, b = - I + k, c = 3i + j and a + b is perpendicular to c then t = 5.

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    only I is ture
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    both I and II are true
    D
    Neither I nor II are true
  • The vector i+j+k,i+2j+3k,2i+3j+k are

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    Collinear
    B
    Non-coplanar
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    None
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