Home
Class 12
MATHS
If vec a , vec ba n d vec c are three m...

If ` vec a , vec ba n d vec c` are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is ` vec a+ vec b+ vec c` b. ` vec a/(| vec a|)+ vec b/(| vec b|)+ vec c/(| vec c|)` c. ` vec a/(| vec a|^2)+ vec b/(| vec b|^2)+ vec c/(| vec c|^2)` d. `| vec a| vec a-| vec b| vec b+| vec c| vec c`

A

`vec(a) + vec(b) + vec(c)`

B

`(vec(a))/(|vec(a)|) + (vec(b))/(|vec(b)|) + (vec(c))/(|vec(c)|)`

C

`(vec(a))/(|vec(a)|^(2))+(vec(b))/(|vec(b)|^(2))+(vec(c))/(|vec(c)|^(2))`

D

`|vec(a)|vec(a) -|vec(b)|vec(b)+ |vec(c)|vec(c)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If vec a,vec b and vec c are three mutually perpendicular vectors,then the vector which is equally inclined to these vectors is a.vec a+vec b+vec c b.(vec a)/(|vec a|)+(vec b)/(|vec b|)+(vec c)/(|vec c|) c.(vec a)/(|vec a|^(2))+(vec b)/(|vec b|^(2))+(vec c)/(|vec c|^(2))d|vec a|vec a-|vec b|vec b+|vec c|vec c

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

If vec A, vec B and vec C are mutually perpendicular vectors, then find the value of vec A. vec (B + vec C) .

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 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, and vec c are there mutually perpendicular unit vectors and vec d is a unit vector which makes equal angles with vec a,vec b, and vec c, the find the value off |vec a+vec b+vec c+vec d|^(2)

vec a,vec b,vec c are mutually perpendicular unit vectors and vec d is a unit vector equally inclined to each other of vec a,vec b and vec c at an angle of 60^(@) then |vec a+vec b+vec c+vec d|^(2)=

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

MOTION-VECTOR -EXERCISE - 1
  1. Find the vector of length 3 unit which is perpendicular to hat i+ ...

    Text Solution

    |

  2. Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...

    Text Solution

    |

  3. For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...

    Text Solution

    |

  4. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  5. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

    Text Solution

    |

  6. If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...

    Text Solution

    |

  7. The value of [(veca -2vecb-vecc)(veca-vecb)( veca-vecb-vecc)] is equal...

    Text Solution

    |

  8. The volume of the parallelopiped constructed on the diagonals of the f...

    Text Solution

    |

  9. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

    Text Solution

    |

  10. Let overset(to)(a) =a(1) hat(i) + a(2) hat(j) + a(3) hat(k) , overse...

    Text Solution

    |

  11. Vector vec x satisfying the relation vec A . vec x = c and vec B xx v...

    Text Solution

    |

  12. If vec a , vec b ,a n d vec c be non-zero vectors such that no tow...

    Text Solution

    |

  13. The pairs vec a,vec b and vec c,vec d each determines plane. Then the ...

    Text Solution

    |

  14. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

    Text Solution

    |

  15. If veca,vecb,vecc are linearly independent vectors, then which one of ...

    Text Solution

    |

  16. A point taken on each median of a triangle divides the median in the r...

    Text Solution

    |

  17. If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec ...

    Text Solution

    |

  18. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  19. If the vectors vec aa n d vec b are linearly idependent satisfying (s...

    Text Solution

    |

  20. If vec a , vec ba n d vec c are three mutually perpendicular vecto...

    Text Solution

    |