Home
Class 12
MATHS
If veca=hati+hatj+hatk,vecb=2hatj-hatj+3...

If `veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk`, find a unit vector parallel to the vector `2veca-vecb+3vecc`.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(sqrt(22))hati-(3)/(sqrt(22))hatj+(2)/(sqrt(22))hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practive Work|36 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of vecA & vecB .

For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca+vecb .

If veca=2hati-hatj-5hatk and vecb=hati+hatj+2hatk , then find scalar and vector product.

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj , then the unit vector along its resultant is

If veca = 2 hati - hatj + hatk , vecb = hati + hatj - 2 hatk, vecc= hati + 3 hatj- hatk, if veca is perpendicular to lamda vecb + vecc. then the value of lamda is ________.

Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of (lamda -4) .

If vecA= 2hati+nhatj-1hatk and vecB=1hati+2hatj+3hatk , then findt the value of n so that vecA bot vecB .

KUMAR PRAKASHAN-VECTOR ALGEBRA -MISCELLANEOUS EXERCISE - 10
  1. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  5. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

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

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2hati-4hatj+5hatk and ha...

    Text Solution

    |

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

    Text Solution

    |

  12. Let vec(a)=hati+4hatj+2hatk,vec(b)=3hati-2hatj+7hatk and vec( c )=2hat...

    Text Solution

    |

  13. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  14. If vec(a),vec(b),vec( c ) are mutually perpendicular vectors of equal ...

    Text Solution

    |

  15. prove that (vec(a)+vec(b)).(vec(a)+vec(b))=|vec(a)|^(2)+|vec(b)|^(2), ...

    Text Solution

    |

  16. If theta is angle between two vectors vec(a) and vec(b) then vec(a).ve...

    Text Solution

    |

  17. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

    Text Solution

    |

  18. The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |