Home
Class 12
MATHS
If vec a , vec b , vec c are mutually p...

If ` vec a , vec b , vec c` are mutually perpenedicular vectors of equal magnitudes, show that the vector ` vec a+ vec b+ vec c` is equally inclined to ` vec a , vec b ,a n d vec cdot`

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Exercise|3 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Revision Exercise|10 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.5)|7 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

If vec a,vec b,vec c are mutually perpenedicular vectors of equal magnitudes,show that the vector vec a+vec b+vec c is equally inclined to vec a,vec b,vec c

If vec a,vec b,vec c are mutually perpendicular vectors of equal magnitude,show the vectors vec a+vec b+vec c is equally inclined to vec a,vec b and vec c.

If vec a,vec b, and vec c are mutually perpendicular vectors of equal magnitudes,then find the angle between vectors vec a and vec a+vec b+vec c

If vec a,vec b,vec c are three mutually perpendicular vectors of equal magniltgude,prove that vec a+vec b+vec c is equally inclined with vectors vec a,vec b, and vec r also find the angle.

If vec a,vec b,vec c are mutually perpendicular unit vectors,find |2vec a+vec b+vec c|

If vec a,vec b,vec c are any time mutually perpendicular vectors of equal magnitude a then |vec a+vec b+vec c| is equal to a b.sqrt(2)a .sqrt(3)a d.2a e.none of these

If vec a, vec b, vec c are three mutually perpendicular vectors such that | vec a | = | vec b | = | vec c | then (vec a + vec b + vec c) * vec a =

If vec a and vec b are vectors of equal magnitude, write the value of (vec a+vec b)vec a-vec b

If vec a and vec b and vec c are mutually perpendicular unit vectors,write the value of |vec a+vec b+vec c|

Statement 1: vec a , vec b ,a n d vec c are three mutually perpendicular unit vectors and vec d is a vector such that vec a , vec b , vec ca n d vec d are non-coplanar. If [ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a]=1,t h e n vec d= vec a+ vec b+ vec c Statement 2: [ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a] =>vec d is equally inclined to veca,vecb,vecc.

MODERN PUBLICATION-VECTOR ALGEBRA -Miscellaneous Exercise on Chapter 10
  1. Write down a unit vector in XY-plane, making an angle of 30 with th...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the po...

    Text Solution

    |

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

    Text Solution

    |

  4. If vec(a)=vec(b)+vec(c ), then is it true that |vec(a)|=|vec(b)|+|vec(...

    Text Solution

    |

  5. Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...

    Text Solution

    |

  6. Find a vector of magnitude 5 units, and parallel to the resultant of ...

    Text Solution

    |

  7. If -> a= hat i+ hat j+ hat k , -> b=2 hat i- hat j+3 hat k and -...

    Text Solution

    |

  8. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joinin...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k ...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the a...

    Text Solution

    |

  12. Let -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...

    Text Solution

    |

  13. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

    Text Solution

    |

  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

    Text Solution

    |

  15. Prove that ( -> a+ -> b)dot( -> a+ -> c)| -> a|^2+| -> b|^2 , if and o...

    Text Solution

    |

  16. If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t h...

    Text Solution

    |

  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

    Text Solution

    |

  18. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

    Text Solution

    |

  19. If is the angle between any two vectors -> a and -> b , then ...

    Text Solution

    |