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If overline(c)=2overline(a)+5overline(b)...

If `overline(c)=2overline(a)+5overline(b), |overline(a)|=a, |overline(b)|=b` and the angle between `overline(a) and overline(b)` is `(pi)/(3)`, then `c^(2)`=

A

`4a^(2)+10ab+25b^(2)`

B

`a^(2)+10ab+5b^(2)`

C

`4a+10ba+25b^(2)`

D

`4a+10ab+b^(2)`

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The correct Answer is:
A
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a)*hat(i)=overline(a)*(2hat(i)+hat(j))=overline(a)*(hat(i)...

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  2. If overline(c)=5overline(a)-4overline(b) and overline(a) is perpendicu...

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  3. If overline(c)=2overline(a)+5overline(b), |overline(a)|=a, |overline(b...

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  4. If the angle between overline(b) and overline(c) is (pi)/(3) and overl...

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  5. If the angle between overline(a) and overline(b) is (P1)/(4) and overl...

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  6. If the angle between vec(a) and vec(b) is (pi)/(6) and vec(c)=vec(a)+3...

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  7. If overline(b)=overline(a)-4overline(c) and angle between overline(a) ...

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  8. If the position vectors of the vertices of a triangle be 2hat(i)+4hat(...

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  9. If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat...

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  10. Let alpha,beta,gamma be distinct real numbers. The points with positio...

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  11. The perimeter of the triangle with sides 3hat(i)+4hat(j)+5hat(k), 4hat...

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  12. The perimeter of the triangle whose vertices have the position vectors...

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  13. Let overline(lambda)=overline(a)times(overline(b)+overline(c)), overli...

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

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

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

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

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

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

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

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