Home
Class 12
MATHS
If |vec a| = 5, |vec a-vec b | = 8 and |...

If `|vec a| = 5, |vec a-vec b | = 8 and |vec a +vec b| = 10`, then `|vec b|` is equal to

A

1

B

`sqrt(57)`

C

`3`

D

none of these

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

| vec a | = 5, | vec a-vec b | = 8 and | vec a + vec b | = 10 then | vec b | is equal to

If |vec a|=5,|vec a-vec b|=8 and |vec a+vec b|=10, then find |vec b|

if | vec a | = | vec b | = | vec a + vec b | = 1 then | vec a-vec b |

vec u = vec a-vec b, vec v = vec a + vec b and | vec a | = | vec b | = 2 then | vec u xxvec v | is equal to

if | vec a | = 3, | vec b | = 4, | vec a-vec b | = 5 then | vec a + vec b | =?

If | vec A | = 2, | vec B | = 5 and | vec A * vec B | = 8 then | vec A xxvec B | =

If vec a, vec b and vec c are perpendicular to vec b + vec c, vec c + vec a, vec a + vec b respectively and if | vec a + vec b | = 6, | vec b + vec c | = 8 and | vec c + vec a | = 10 then find the value of vec a + vec b + vec c

Let | vec a | = | vec b | = 2 and | vec c | = 1 Also (vec a-vec c) * (vec b-vec c) = 0 and | vec a-vec b | ^ (2) + | vec a + vec b | = 16 then | vec a-vec b | ^ (2) + 2vec c * (vec a + vec b) has the value equal to

If |veca| = 1, |vec b| = 2, |vec c| = 3 and vec a +vec b +vec c = 0 , then the value of vec a * vec b +vec b. vec c +vec c* vec a equals

If |vec(a)|=7, |vec(b)|=11 and |vec(a)+vec(b)|=10 sqrt(3) , then |vec(a)-vec(b)| is equal to

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If |vec a| = 5, |vec a-vec b | = 8 and |vec a +vec b| = 10, then |vec ...

    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

    |