Home
Class 11
MATHS
The position vectors of the points P,Q,R...

The position vectors of the points P,Q,R,S are `hati+hatj+hatk,2hati+5hatj,3hatk+2hatj-3hatk,"and" " "hati-6hatj-hatk` respectively. Prove that the line PQ and RS are parallel.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.3|19 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.4|10 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - D (5 - MARK)|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

The position vectors of the points A,B, and C are hati+2hatj-hatk, hati+hatj+hatk , and 2hati+3hatj+2hatk respectively. If A is chosen as the origin, then the position vectors B and C are

The position vectors of the vertices of a triangle are hati+2hatj+3hatk,3hati-4hatj+5hatk" ""and" -2hati+3hatj-7hatk. Find the perimeter of the triangle

The positiion vectors of two point masses 10 kg and 5 kg are (3hati+2hatj+4hatk)m and (3hati+6hatj+5hatk)m respectively. Locate the position of center of mass.

Show that the points vectors are 2hati+3hatj-5hatk,3hati+hatj-2hatk and 6hati-5hatj+7hatk are collinear.

Find a set of vectors reciprocal to the set -hati+hatj+hatk,hati-hatj+hatk,hati+hatj+hatk

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.2
  1. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  2. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  3. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  4. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  5. A triangle is formed by joining the points (1,0,0), (0,1,0) and (0,0,1...

    Text Solution

    |

  6. If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, t...

    Text Solution

    |

  7. If (a,a+b,a+b+c) is one set of direction ratios of the line joining (1...

    Text Solution

    |

  8. Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), h...

    Text Solution

    |

  9. Find the value of lambda for which the vectors veca=3hat(i)+2hat(j)+9h...

    Text Solution

    |

  10. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

    Text Solution

    |

  11. Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat...

    Text Solution

    |

  12. Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-h...

    Text Solution

    |

  13. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

    Text Solution

    |

  14. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

    Text Solution

    |

  15. The position vectors of the vertices of a triangle are hati+2hatj+3hat...

    Text Solution

    |

  16. Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-h...

    Text Solution

    |

  17. The position vectors veca,vecb,veccof three points satisfy the relatio...

    Text Solution

    |

  18. The position vectors of the points P,Q,R,S are hati+hatj+hatk,2hati+5h...

    Text Solution

    |

  19. Find the value or values of m for which m (hati+hatj+hatk) is a unit v...

    Text Solution

    |

  20. Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices ...

    Text Solution

    |