Home
Class 12
MATHS
If vec(a)=i-2 j + 3k, vec(b) is a vector...

If `vec(a)=i-2 j + 3k, vec(b)` is a vector such that `vec(a).vec(b)= |vec(b)|^(2) |vec(a)-vec(b)|= sqrt7`, then `|vec(b)|`= ________

A

7

B

14

C

`sqrt7`

D

21

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such that vec(a) . vec(b) = | vec(b)|^(2) and |vec(a) - vec(b)| and | vec(a) - vec(b)| = sqrt(7) , then |vec(b)| = ______

If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec(b)|=4 and |vec(a)+vec(b)|=sqrt(7) , then the angle between vec(a) and vec(b) is

If two vectors vec(a) and vec(b) such that |vec(a)| = 2|vec(b)| = 3 and vec(a).vec(b) = 6 , find |vec(a)-vec(b)| .

Vectors vec(a), vec(b) and vec(c ) are such that vec(a) + vec(b) + vec(c ) = 0 and |vec(a)| = 3, |vec(b)| = 5 and |vec(c )| = 7 . Find the angle between vec(a) and vec(b) .

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) + vec(c )= vec(0), " then " vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) =

If vec(a), vec(b),vec(c ) are three vectors such that |vec(a)| = 5, |vec(b)| = 12 and |vec(c )| = 13 and vec(a) + vec(b) + vec(c ) = vec(0) , find the value of vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a) .

If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |vec(a)| , then prove tat 2vec(a) + vec(b) is perpendicular to vec(b) .

If vec a and vec b are unit vectors such that |vec a + vec b| =1, then |vec a - vec b| =

Let vec a = 2i+j-2k and vec b = i+j . If vec c is a vector such that vec a . vec c = |vec c|, |vec c - vec a| = 2 sqrt2 and the angle between (vec a xx vec b ) and vec c is 30^(o) , then |(vec a xx vec b) xx vec c| =

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. If the ecentricity of the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=...

    Text Solution

    |

  2. If vec(a) = hat(i) + 2hat(j) +2hat(k) , |vec(b)| = 5 and the angle ...

    Text Solution

    |

  3. If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec...

    Text Solution

    |

  4. If direction cosines of a vector of magnitude 3 are 2/3 , - 9/3 , 2/3...

    Text Solution

    |

  5. Equation of line passing through the point (2,3,1) and parallel to...

    Text Solution

    |

  6. Foot of perpendicular drawn from the origin to the plane 2x-3y +4z = ...

    Text Solution

    |

  7. If two dice are thrown simultaneously , then the probability that the ...

    Text Solution

    |

  8. If y = f(x^(2)) and f'(3) = 5 then (dy)/(dx) at x = 1 is

    Text Solution

    |

  9. If x= a cos^(3) theta, y= a sin^(3) theta, then 1 + ((dy)/(dx))^(2) is

    Text Solution

    |

  10. Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is

    Text Solution

    |

  11. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

    Text Solution

    |

  12. If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

    Text Solution

    |

  13. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

    Text Solution

    |

  14. A man takes a step forward with probability 0.4 and one step backward ...

    Text Solution

    |

  15. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

    Text Solution

    |

  16. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

    Text Solution

    |

  17. Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...

    Text Solution

    |

  18. The mean devision from the data 3,10,10,4 ,7,10,5 is

    Text Solution

    |

  19. The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...

    Text Solution

    |

  20. If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...

    Text Solution

    |