Home
Class 12
MATHS
If vec b is a vector whose initial poin...

If ` vec b` is a vector whose initial point divides thejoin of `5 hat ia n d5 hat j` in the ratio `k :1` and whose terminal point is the origin and `| vec b|lt=sqrt(37),t h e nk` lies in the interval a. `[-6,-1//6]` b. `(-oo,-6]uu[-1//6,oo)` c. `[0,6]` d. none of these

A

`[-6, - 1/6]`

B

`(-oo,- 6) cup [-1/6 , oo]`

C

[0,6]

D

`[-1/6, 6]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -1 : CONCEPT BUILDER|60 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

If vec b is a vector whose initial point divides thejoin of 5hat i and 5hat j in the ratio k:1 and whose terminal point is the origin and |vec b|<=sqrt(37), then k lies in the interval a.[-6,-1/6] b.(-oo,-6]uu[-1/6,oo) c.[0,6] d.none of these

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

If vec a=4hat i+6hat j and vec b=3hat j+4hat k, then find the component of vec a and vec b .

If vec a=4hat i+6hat j and vec b=3hat j+hat k, then the component of vec a along vec b is

Write the position vector of a point dividing the line segment joining points A and B with position vectors vec a and vec b externally in the ration 1:4 where vec a=2hat i+3hat j+4hat k and vec b=-hat i+hat j+hat k

If unit vectors vec a and vec b are inclined at angle 2 theta such that |vec a-vec b|<1and0<=theta<=pi, then theta lies in interval a.[0,pi/6] b.[5 pi/6,pi] c.[pi/6,pi/2] d.[pi/2,5 pi/6]

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k be threevectors.A vector in the plane of vec a and vec b whose projectionon vec c is (1)/(sqrt(3)), is given by

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

If vec a=2hat i-2hat j+hat k,vec b=2hat i+3hat j+6hat k and vec c=-hat i+2hat k then find the magnitude and direction of the vector vec a-vec b+2c

If vec A + vec B =3 hat I + 6 hat j + 2 hat k and vec A - vec B = 6 hat I + 3 hat j - hat k . Find the magnitude of vec A and vec B and their scalar product vec A . Vec B .

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

    Text Solution

    |

  2. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  3. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

    Text Solution

    |

  4. If the positive numbers a, b and c are the pth, qth and rth terms of G...

    Text Solution

    |

  5. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  6. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

    Text Solution

    |

  7. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

    Text Solution

    |

  8. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

    Text Solution

    |

  9. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

    Text Solution

    |

  10. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

    Text Solution

    |

  11. Let vec r , vec a , vec b and vec c be four non zero vectors such tha...

    Text Solution

    |

  12. Let vec r = (veca xx vecb) sin x + (vecb + vec c) cos y + 2 (vec c xx...

    Text Solution

    |

  13. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

    Text Solution

    |

  14. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

    Text Solution

    |

  15. If |vec a + vecb| = |vec a - vecb| , then which one of the following i...

    Text Solution

    |

  16. The resultant of forces vecP and vec Q is vecR . If vec Q is doubled t...

    Text Solution

    |

  17. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  18. A body travels a distance s in t seconds. It starts from rest and ends...

    Text Solution

    |

  19. Two particles start simultaneously from the same point and move along ...

    Text Solution

    |

  20. vec p , vec q ,a n d vec r are three mutually perpendicular vectors of...

    Text Solution

    |