Home
Class 12
MATHS
Find the sum of the vectors veca=hati-2...

Find the sum of the vectors `veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk`.

Text Solution

Verified by Experts

The correct Answer is:
`-4hatj=hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.3|18 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.4|12 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.1|5 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

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.

Show that the vectors veca=3hati-2hatj+hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk form a right angled triangle.

Prove that a right angled triangle can be formed using the vectors vecA=hati-3hatj+5hatk, vecB=2hati+hatj-4hatk and vecC=3hati-2hatj+hatk .

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

Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= hati+2hatj-3hatk and vecc= 3hati+lambdaj+5hatk are coplanar.

Consider three vectors vecA =hati+hatj-2hatk,vecB=hati-hatj+hatk and vecC =2hati-3hatj+4hatk . A vector vecX of the form alpha vecA+betavecB(alpha and beta are numbers ) is perpendicular to vecC . The ratio of alpha and beta is

The shortest distance between the lines whose vector equations are vecr=hati-2hatj+3hatk+lambda(hati-hatj+hatk) and vecr=hati-hatj-hatk+mu(hati+2hatj-2hatk) is -

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

Find the angle between the two vectors vecA =hati-2hatj+3hatk and vecB=2hati+hatj+3hatk .

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

NCERT BANGLISH-VECTOR ALGEBRA-EXERCISE 10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  2. Write two different vectors having same magnitude.

    Text Solution

    |

  3. Write two different vectors having same direction.

    Text Solution

    |

  4. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

    Text Solution

    |

  5. Find the scalar and vector components of the vector with initial poi...

    Text Solution

    |

  6. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5h...

    Text Solution

    |

  7. Find the unit vector in the direction of the vector veca=hati+hatj+2h...

    Text Solution

    |

  8. Find the unit vector in the direction of vector vec(PQ) , where P and ...

    Text Solution

    |

  9. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

    Text Solution

    |

  10. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

    Text Solution

    |

  11. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

    Text Solution

    |

  12. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

  13. Find the direction cosines of the vector joining the points A(1,2,-3)...

    Text Solution

    |

  14. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

    Text Solution

    |

  15. Find the position vector of a point R which divides the line joing two...

    Text Solution

    |

  16. Find the position vector of the mid point of the vector joining the p...

    Text Solution

    |

  17. Show that the points A,B and C with position vectors , veca=3hati-4hat...

    Text Solution

    |

  18. In triangle ABC which of the following is not true :

    Text Solution

    |

  19. If vecaandvecb are two collinear vectors , then which of the following...

    Text Solution

    |