Home
Class 12
MATHS
Find the angles at which the vector 2 ha...

Find the angles at which the vector `2 hat i- hat j+2 hat k` is inclined to each of the coordinate axes.

Text Solution

Verified by Experts

A= `2 hat i- hat j+2 hat k`
Thus,
`|A|=sqrt(2^2+1^2+2^2)`
`|A|=3`
So,
angle of coordiante axis are,
`cos^(-1)(2/3),cos^(-1)` `(-1/2),cos^(-1)(2/3)`
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

Show that the vector hat i+hat j+hat k is equally inclined with the coordinate axes.

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat i-hat j+hat khat j-hat k4hat i+8hat j+hat k

Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

Find the angles which the vector vec(a)=3 hat(i)-6hat(j)+2hat(k) makes with the coordinate axes.

Find the angle between the vectors hat i-2hat j+3k and 3hat i-2hat j+k

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

Find the angle between the vectors hat(i)-hat(j) and hat(j)-hat(k) .

the angle between the vectors 2hat i-3hat j+2hat k and hat i+5hat j+5hat k is

Show that the vector hat i+ hat j+ hat k is equally inclined to the axes OX, OY and OZ.

RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. Three vectors of magnitude a ,2a ,3a meet in a point and their directi...

    Text Solution

    |

  2. Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca ...

    Text Solution

    |

  3. Find the angles at which the vector 2 hat i- hat j+2 hat k is inclined...

    Text Solution

    |

  4. Prove that four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec...

    Text Solution

    |

  5. Find the direction cosines of the vector joining the points A(1,2,-...

    Text Solution

    |

  6. If vec aa n d vec b are two non-collinear vectors, show that point...

    Text Solution

    |

  7. If the position vector vec a of a point (12 ,n) is such that | vec a|...

    Text Solution

    |

  8. If A=(0,1)B=(1,0),C=(1,2),D=(2,1) , prove that vec A B= vec C Ddot

    Text Solution

    |

  9. Show that the points with position vectors vec a-2 vec b+3 vec c ,-2 ...

    Text Solution

    |

  10. Find the position vector of a point R which divides the line joining ...

    Text Solution

    |

  11. If D is the mid-point of the side B C of a triangle A B C , prove that...

    Text Solution

    |

  12. Show that the found points A ,B ,C ,D with position vectors vec a , v...

    Text Solution

    |

  13. Let vec a , vec b , vec c be the position vectors of three distinct p...

    Text Solution

    |

  14. If vec aa n d vec b are position vectors of points Aa n dB respective...

    Text Solution

    |

  15. If vec aa n d vec b are position vectors of Aa n dB respectively, fin...

    Text Solution

    |

  16. If vec c = 3vec a+4vec b and 2vec c =vec a -3vec b, show that (i) vec ...

    Text Solution

    |

  17. Find the position vectors of the points which divide the join of th...

    Text Solution

    |

  18. Let O be the centre of a regular hexagon A B C D E F . Find the sum of...

    Text Solution

    |

  19. For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=|...

    Text Solution

    |

  20. IF P1, P2, P3, P4 are points in a plane or space and O is the origin o...

    Text Solution

    |