Home
Class 12
MATHS
Write the direction cosines of the vecto...

Write the direction cosines of the vector ` vec r=6 hat i-2 hat j+3 hat kdot`

Text Solution

Verified by Experts

Given vector is,
` vec r=6 hat i-2 hat j+3 hat kdot`
Its direction cosines are,
`6/sqrt{6^2+(-2)^2+3^2},{-2}/sqrt{6^2+(-2)^2+3^2},3/sqrt{6^2+(-2)^2+3^2}`
i.e. `6/7,-2/7,3/7`
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

  • APPLICATION OF INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

Writhe the direction cosines of the vector hat i+2hat j+3hat k

Write the direction cosines of the vector -2hat i+hat j-5hat k

Find the direction cosines of the vector hat i+2hat j+3hat k

Find the direction cosines of the vector hat i+2hat j+3hat k.

Write a unit vector in the direction of the sum of the vectors vec a=2hat i+2hat j-5hat k and vec b=2hat i+hat j-7hat k

Find the direction cosines of the following vectors: 2hat i+2hat j-hat k6hat i-2hat j-3hat k3hat i-4hat k

Find the unit vector in the direction of the sum of the vectors : vec(a) = 2hat(i)-hat(j)+2hat(k) and vec(b)=-hat(i)+hat(j)+3hat(k) .

Find a unit vector in the direction of the vector vec a=3hat i-2hat j+6hat k

Write the direction ratios of the vector rarr a=hat i+hat j-2hat k and hence calculate its direction cosines.

Write a unit vector in the direction of the sum of the vectors : vec(a)=2hat(i)+2hat(j)-5hat(k) and vec(b)=2hat(i)+hat(j)+3hat(k) .

RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. Write the length (magnitude) of a vector whose project on the coordina...

    Text Solution

    |

  2. Write the position vector of a point dividing the line segment joining...

    Text Solution

    |

  3. Write the direction cosines of the vector vec r=6 hat i-2 hat j+3 hat...

    Text Solution

    |

  4. If vec a=i+j ,\ vec b=j+k\ a n d\ vec c=k+i ,\ write unit vectors ...

    Text Solution

    |

  5. If vec a= hat i+ hat j ,\ vec b= hat j+ hat k\ a n d\ vec c= hat k+...

    Text Solution

    |

  6. If vec a= hat i+2 hat j , vec b= hat j+2 hat k ,\ write a unitvector...

    Text Solution

    |

  7. Write the position vector of a point dividing the line segment joining...

    Text Solution

    |

  8. If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i fi...

    Text Solution

    |

  9. If vec a=3 hat i- hat j-4 hat k ,\ vec b=-2 hat i+4 hat j-3 hat k\ a...

    Text Solution

    |

  10. A unit vector vec r makes angle pi/3\ a n d\ pi/2 with hat j a n d\ ...

    Text Solution

    |

  11. Write a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat k...

    Text Solution

    |

  12. If vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=2 hat i+4 hat j+9 hat ...

    Text Solution

    |

  13. Write a unit vector in the direction of vec b=2 hat i+ hat j+2 hat kd...

    Text Solution

    |

  14. Find the position vector of the mid point of the line segment A B ,\ ...

    Text Solution

    |

  15. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

    Text Solution

    |

  16. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

    Text Solution

    |

  17. Write two different vectors having same magnitude.

    Text Solution

    |

  18. Write two different vectors having same direction.

    Text Solution

    |

  19. Write a vector in the direction of vector 5 hat i- hat j+2 hat k which...

    Text Solution

    |

  20. Writhe the direction cosines of the vector hat i+2 hat j+3 hat kdot

    Text Solution

    |