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The value of |[overline(a)*overline(a), ...

The value of `|[overline(a)*overline(a), overline(a)*overline(b), overline(a)*overline(c)], [overline(b)*overline(a), overline(b)*overline(b), overline(b)*overline(c)], [overline(c)*overline(a), overline(c)*overline(b), overline(c)*overline(c)]|=`

A

`-[[overline(a), overline(b), overline(c)]]`

B

`2[[overline(a), overline(b), overline(c)]]`

C

`[[overline(a), overline(b), overline(c)]]^(2)`

D

`[[overline(a), overline(b), overline(c)]]`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. Let overline(lambda)=overline(a)times(overline(b)+overline(c)), overli...

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  2. |[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*over...

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  3. The value of |[overline(a)*overline(a), overline(a)*overline(b), overl...

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  4. If overline(a), overline(b), overline(c) be three vecotrs such that ov...

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  5. If |overline(a)|=50 and overline(b)=6hat(i)-8hat(j)-(15)/(2)hat(k) are...

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  6. If overline(a) and overline(b) are the position vectors of the points ...

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  7. If the vectors 3hat(i)-5hat(j)+hat(k)and9hat(i)-15hat(j)+phat(k) are c...

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  8. If the vectors 2hat(i)-qhat(j)+3hat(k)and4hat(i)-5hat(j)+6hat(k) are c...

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  9. The value of k for which the vectors overline(a)=hat(i)-hat(j) and ove...

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  10. Let overline(a) and overline(b) be non-collinear. If overline(c)=(x-2)...

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  11. If the points A(3, 2, -4), B(9, 8, -10) and C(-2, -3. p) are collinear...

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  12. If the points A(4, 5, 2), B(3, 2, p) and C(5, 8, 0) are collinear , th...

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  13. If the points A(2,1,1,),B(0,-1,4)andC(k,3,-2) are collinear, then k= ....

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  14. If the points A(5, -6, -2), B(p, 2, 4) and C(3, -2, 1) are collinear, ...

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  15. If the points A(1, -2, 3), B(2, 3, -4) and C(0, -p, 10) are collinear,...

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  16. If the points A(1, -2, 2), B(3, 1, 1) and C(-1, p, 3) are collinear, t...

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  17. If P(5,6,-1),Q (2,-7,beta ) and R (-1,-20,7) are collinear , then bet...

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  18. If the points A(3,0,p),B(-1,q,3) and C(-3,3,0) are collinear, then fin...

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  19. If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat ...

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  20. The points with position vectors overline(a)+overline(b), overline(a)-...

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