Home
Class 12
MATHS
If the position vectors of A and B are h...

If the position vectors of A and B are `hati+3hatj-7hatk and 5hati-2hatj+4hatk`, then the direction cosine of AB along Y-axis is

A

`(4)/(sqrt(162))`

B

`-(5)/(sqrt(162))`

C

`-5`

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
`AB=4hati-5hatj+11hatk`
Direction cosine along Y-axis `=(-5)/(sqrt(16+25+121))=(-5)/(sqrt(162))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|3 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

The position vectors of points A and B are hati+3hatj-7 hatk and 5hati-2hatj+4hatk respectively, then the direction cosine of bar(AB) along Y-axis is

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

If the position vectors of P and Q be respectively hati+3hatj-7hatk and 5hati-2hatj+4hatk and vec(PQ)

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hatj+4hatk respectively, the cosine of the angle between PQ and Z-axis is

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-3hatj+4hatk respectively, the cosine of the angle between vec(PQ) and z-axis is

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk, then what will be the position vectors of the mid point of AB

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk , then what will be the position vector of the mid-point of AB

If ABCD is a parallelogram and the position vectors of A,B and C are hati+3hatj+5hatk, hati+hatj+hatk and 7 hati+7hatj+7hatk , then the poisitionn vector of D will be

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2...

    Text Solution

    |

  2. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  3. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

    Text Solution

    |

  4. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

    Text Solution

    |

  5. The direction cosines of the vector 3hati-4hatj+5hatk are

    Text Solution

    |

  6. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

    Text Solution

    |

  7. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

    Text Solution

    |

  8. If a,b and c are the position vectors of the vertices A,B and C of the...

    Text Solution

    |

  9. If a and b are position vector of two points A,B and C divides AB in r...

    Text Solution

    |

  10. Find the position vector of the point which divides the join of the po...

    Text Solution

    |

  11. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

    Text Solution

    |

  12. If the position vectors of the points A and B are hati+3hatj-hatk and ...

    Text Solution

    |

  13. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

    Text Solution

    |

  14. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

    Text Solution

    |

  15. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

    Text Solution

    |

  16. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

    Text Solution

    |

  17. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

    Text Solution

    |

  18. If the points a+b,a-b and a+kb be collinear, then k is equal to

    Text Solution

    |

  19. If the position vectors of A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

    Text Solution

    |

  20. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

    Text Solution

    |