Home
Class 12
MATHS
If hati+hatj+hatk,2hati+5hatj,3hati+2hat...

If `hati+hatj+hatk,2hati+5hatj,3hati+2hatj-3hatkandhati-6hatj-hatk` are position vectors of points A,B,C and D respectively , then find the angle between `vec(AB)andvec(CD)`. Deduce that `vec(AB)andvec(CD)` are collinear.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise EXERCISE 10.1|5 Videos

  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise EXERCISE 10.2|19 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|18 Videos

Similar Questions

Explore conceptually related problems

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

If a=hati+hatj+hatk,a.b=1andaxxb=hatj-hatk then b=

If 3hati-2hatj-hatk,2hati+3hatj-4hatk,-hati+hatj+2hatk and 4hati +5hatj+ lambda hatk are respectively the position vectors of four coplanar points P, Q, R and S, then lambda =

Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk) are collinear.

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

If a=2hati+hatk,b=hati+hatj+hatk,c=4hati-3hatj+7hatk , then the vector r satisfying rxxb=cxxb and r.a=0 is

NCERT TELUGU-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. If hati+hatj+hatk,2hati+5hatj,3hati+2hatj-3hatkandhati-6hatj-hatk are...

    Text Solution

    |

  2. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

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

    Text Solution

    |

  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

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

    Text Solution

    |

  15. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  16. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  17. The value of hati.(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is

    Text Solution

    |

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

    Text Solution

    |