Home
Class 12
MATHS
If overline(c)=5overline(a)-4overline(b)...

If `overline(c)=5overline(a)-4overline(b) and overline(a)` is perpendicular to `overline(b)`, then `c^(2)=`

A

`5a^(2)+4b^(2)`

B

`5a^(2)+16b^(2)`

C

`25a^(2)+16b^(2)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)| is perpendicular to |overline(b)| and |overline(c)| such that the angle between |overline(b)| and |overline(c)| is (5pi)/(6) , then [[overline(a),overline(b), overline(c)]]=

overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

The volume of paralleloP1ped with vector overline(a)+2overline(b)+overline(c), overline(a)-overline(b) and overline(a)-overline(b)-overline(c) is equal to k[[overline(a), overline(b), overline(c)]] . Then k=

If overline(a), overline(b) and overline(c) are unit vectors perpendicular to each other, the [[overline(a), overline(b), overline(c)]]^(2)=

If overline(b)=overline(a)-4overline(c) and angle between overline(a) and overline(c) is (pi)/(6) and a=2, c=1 then b^(2)=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

For vectors overline(a) and overline(b) and overline(a)+overline(b)ne=0 and overline(c) is a non-zero vector, then (overline(a)+overline(b))times(overline(c)-(overline(a)+overline(b)))=

If the angle between overline(a) and overline(b) is (pi)/(6) and overline(c)=overline(a)+3overline(b) , then c^(2)=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. (overline(a)*hat(i))hat(i)+(overline(a)*hat(j))hat(j)+(overline(a)*hat...

    Text Solution

    |

  2. If overline(a)*hat(i)=overline(a)*(2hat(i)+hat(j))=overline(a)*(hat(i)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |