Home
Class 11
MATHS
Show that the following vectors are co-p...

Show that the following vectors are co-planar
(ii) `5hati+6hatj+7hatk,7hati-8hatj+9hatk,-3hati+20hatj+5hatk`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore` The vector are co-planar.
Promotional Banner

Topper's Solved these Questions

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise(8.3)|19 Videos
  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise(8.4)|10 Videos
  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise (8.1)|13 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

Show that the following vectors are coplaner. (i) hati-2hatj+3hatk,-2hati+3hatj-4hatk,-hatj+2hatk (ii) 2hati+3hatj+hatk,hati-hatj,7hati+3hatj+2hatk

Show that the vectors 5 hat i+6hatj+7hatk,7hati-8hatj+9hatk,3hati+20hatj+5hatk are coplanar.

Find the angel between the following pairs of vectors 3hati+2hatj-6hatk, 4hati-3hatj+hatkhati-2hatj+3hatk, 3hati-2hatj+hatk

Show that the points whose position vectors 4hati + 5hatj + hatk, -hatj -hatk, 3hati + 9hatj + 4hatk and -4hati + 4hatj + 4hatk are coplanar.

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

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

Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj from a right angled triangle.

PREMIERS PUBLISHERS-Vector Algebra -I-Solution to 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. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Show that the following vectors are co-planar (ii) 5hati+6hatj+7hatk,7...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find veca.vecb when veca=2hati+2hatj-hatk" ""and"" " vecb=6hati-3hat...

    Text Solution

    |