Home
Class 12
MATHS
If |veca| =3, |vecb|=4 and |vecc|=5 such...

If `|veca| =3, |vecb|=4 and |vecc|=5` such that each is perpendicular to sum of the other two, find `|veca + vecb+vecc|`

A

`5sqrt(2)`

B

`5//sqrt(2)`

C

`10sqrt(2)`

D

`5sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If |veca|=4, |vecb|=4 and |vecc|=5 such that veca bot vecb + vecc, vecb bot (vecc + veca) and veca bot (veca + vecb) , then |veca + vecb + vecc| is:

Let veca,vecb and vecc are vectors such that |veca|=3,|vecb|=4and |vecc|=5, and (veca+vecb) is perpendicular to vecc,(vecb+vecc) is perpendiculatr to veca and (vecc+veca) is perpendicular to vecb . Then find the value of |veca+vecb+vecc| .

If veca, vecb and vecc are vectors such that |veca|=3,|vecb|=4 and |vec|=5 and (veca+vecb) is perpendicular to vecc,(vecb+vecc) is perpendicular to veca and (vecc+veca) is perpendicular to vecb then |veca+vecb+vecc|= (A) 4sqrt(3) (B) 5sqrt(2) (C) 2 (D) 12

If veca, vecb,vecc are unit vectors such that veca is perpendicular to the plane of vecb, vecc and the angle between vecb,vecc is pi/3 , then |veca+vecb+vecc|=

If |veca|=5, |vecb|=3, |vecc|=4 and veca is perpendicular to vecb and vecc such that angle between vecb and vecc is (5pi)/6 , then the volume of the parallelopiped having veca, vecb and vecc as three coterminous edges is

If veca,vecb and vecc are three vectors such that |veca|= 3, |vecb|=4 and |vecc|=sqrt(24) and sum of any two vectors is orthogonal to the third vector , then find |veca+vecb+vecc| is equal to k.Find k .

Let |veca| = 3, |vecb| = 5, vecb.vecc= 10 , angle between vecb and vecc equal to pi/3 . If veca is perpendicular vecb xx vecc then find the value of |veca xx (vecb xx vecc)|

If veca, vecb, vecc be three units vectors perpendicular to each other, then |(2veca+3vecb+4vecc).(veca xx vecb+5vecbxxvecc+6vecc xx veca)| is equal to

If |veca| =5, |vecb| =4, |vecc| =3 and veca + vecb + vecc =0, then the vlaue of |veca, vecb + vecb.vecc+vecc,veca|, is

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a , b, c are three vectors such that a + b + c = 0 and |a| = 1, |b|...

    Text Solution

    |

  2. If vec a , vec b ,a n d vec c are mutually perpendicular vectors o...

    Text Solution

    |

  3. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

    Text Solution

    |

  4. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  5. If |a| = |b| = |a + b| = 1, then |a-b| is equal to

    Text Solution

    |

  6. If all the vectors a, b, c, a + b, b + c and a + b +c be unit vectors...

    Text Solution

    |

  7. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

    Text Solution

    |

  8. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

    Text Solution

    |

  9. The vector 3i-2j+k,i-3j+5k and 2i+j-4k form the sides of a triangle, T...

    Text Solution

    |

  10. The three vectors 7i-11j+k, 5i+3j-2k and 12i-8j-k form

    Text Solution

    |

  11. Values of a for which the points A, B, C with position vectors 2i - j+...

    Text Solution

    |

  12. A unit vector a makes an angle pi//4 with z-axis and if a + i+j is a u...

    Text Solution

    |

  13. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

    Text Solution

    |

  14. If a = i+j-k,b=i-j+k and c is aunit vector perpendicular to the vector...

    Text Solution

    |

  15. If a=-i+j+k and b =2i+0j+k, then the vector c satisfying the conditio...

    Text Solution

    |

  16. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

    Text Solution

    |

  17. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

    Text Solution

    |

  18. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

    Text Solution

    |

  19. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

    Text Solution

    |

  20. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

    Text Solution

    |