Home
Class 12
MATHS
Show that the vector of magnitude sqrt(5...

Show that the vector of magnitude `sqrt(51)` which makes equal anges with the vectors `veca=1/3 (hati-2hatj+2hatk), vecb= 1/5 (-4hati-3hatk) and vecc=hati+hatj+hatk`.

A

`pm(i-j+7k)`

B

`pm(5i-j-5k)`

C

`pm(i+5j-5k)`

D

`pm(7i+j-k)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Show that the vector of magnitude sqrt(51) which makes equal anges with the vectors veca=1/3 (hati-2hatj+2hatk), vecb= 1/5 (-4hati-3hatk) and vecc=hatj ,is ,-5hati+hatj+5hatk

The three vectors vecA=3hati-2hatj+hatk, vecB=hati-3hatj+5hatk and vecC=2hati+hatj-4hatk form

Select CORRECT statement(s) for three vectors veca=-3hati+2hatj-hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk

A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-hatj+5hatk .

Find the scalar product of vectors veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk

The volume of the parallelepiped formed by the vectors, veca=2hati+3hatj-hatk, vecb = hati-4hatj+2hatk and vecc=5hati+hatj+hatk is

Find the angle between the vectors veca+vecb and veca-vecb if veca=2hati-hatj+3hatk and vecb=3hati+hatj-2hatk .

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors " "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a = 2i+j+2k, b=5i-3j+k, then orthogonal projection vector of a and ...

    Text Solution

    |

  2. Given two vectors a = 2i -3j+6k, b=2i+2j-k and p = ("the projection of...

    Text Solution

    |

  3. Show that the vector of magnitude sqrt(51) which makes equal anges wit...

    Text Solution

    |

  4. In a parallelopiped the ratio of the sum of the squares on the four d...

    Text Solution

    |

  5. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  6. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

    Text Solution

    |

  7. The modulus of the sum of three mutually perpendicular unit vectors is

    Text Solution

    |

  8. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

    Text Solution

    |

  9. If a, b , c are vectors such that c = a + b and a. b = 0 , then

    Text Solution

    |

  10. If a, b, c are three unit vectors such that a+b+c=0. Where 0 is null v...

    Text Solution

    |

  11. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w= ...

    Text Solution

    |

  12. If a , b, c are three vectors such that a + b + c = 0 and |a| = 1, |b|...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |