Home
Class 12
MATHS
If veca, vecb, vecc are unit vectors, th...

If `veca, vecb, vecc are unit vectors, then `|veca-vecb|^2+|vecb-vec|^2+|vecc^2-veca^2|^2` does not exceed (A) 4 (B) 9 (C) 8 (D) 6

A

4

B

9

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2 does not exceed (A) 4 (B) 9 (C) 8 (D) 6

If veca,vecb,vecc are unit vectors satisfying |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2=9 then |2veca+5vecb+3vecc| is

If veca, vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,7vecb-9vecc,10vecc-23veca)]

If veca,vecb,vecc are non coplanar vectors then ([veca+2vecb vecb+2cvecc vecc+2veca])/([veca vecb vecc])= (A) 3 (B) 9 (C) 8 (D) 6

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If veca,vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,7vecb-9vecc,12vecc-23vecb)] is equal to

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

If veca,vecb,vecc are unit coplanar vectors than [2veca-vecb,2vecb-vecc, 2vecc-veca]= (A) 1 (B) 0 (C) -sqrt(3) (D) sqrt(3)

If veca, vecb and vecc are unit vectors satisfying |veca-vecb|^(2)+|vecb-vecc|^(2)+|vecc-veca|^(2)=9 " then " |2veca+ 5vecb+ 5vecc| is

If veca. Vecb and vecc are unit vectors satisfying |veca -vecb|^(2) +|vecb -vecc| ^(2) |vecc -veca| =9 , " then " |2 veca + 5 vecb + 5 vecc| is equal to

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  7. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  9. Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

    Text Solution

    |

  11. Let P, Q, R and S be the points on the plane with position vectors -2h...

    Text Solution

    |

  12. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  16. Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...

    Text Solution

    |

  17. The number of distinct real values of lambda, for which the vectors -l...

    Text Solution

    |

  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

    Text Solution

    |

  21. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

    Text Solution

    |