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cos alpha sin (beta-gamma)+cos beta sin ...

`cos alpha sin (beta-gamma)+cos beta sin (gamma-alpha)` `+cos gamma(sin alpha-beta)=`

A

0

B

`(1)/(2)`

C

1

D

`4 cos alpha cos beta cos gamma`

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Knowledge Check

  • Let alpha, beta, gamma are distinct real numbers. The points with position vectors alpha i + beta j + gamma k , beta i + gamma j + alpha k , gamma i + alpha j + beta k

    A
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    B
    form a scalene triangle
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    D
    are collinear
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    0
    B
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    C
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    D
    12
  • Let A and B denote the statement : A : cosalpha + cosbeta + cosgamma = 0 , B : sinalpha + sinbeta + singamma = 0 If cos(beta - gamma) + (gamma - alpha) + cos (alpha - beta) =-3/2 , then :

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