Home
Class 11
MATHS
Show that the vectors are coplanar ha...

Show that the vectors are coplanar
`hat(i)-2hat(j)+3hat(k),-2hat(i)+3hat(j)-4hat(k),-hat(j)+2hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
The vectors 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 vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat(j),7hat(i)+3hat(j)+2 hat(k)

Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), hat(i)-3hat(j)-5hat(k) form a right angled triangle.

show that the vectors 3 hat(i)- 2hat(j)+ hat(k), hat(i)-3hat(j)+5hat(k) and 2hat(i)+ hat(j)- 4 hat(k) form a right angled triangle

Show that the points whose position vectors are 2hat(i) + 3hat(j) - 5hat(k), 3hat(i) + hat(j) - 2hat(k) and 6hat(i) - 5hat(j) + 7hat(k) are collinear.

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}

Show that the lines vec(r)=(6hat(i)+hat(j)+2hat(k))+s(hat(i)+2hat(j)-3hat(k)),andvec(r)=(3hat(i)+2hat(j)-2hat(k))+t(2hat(i)+4hat(j)-5hat(k)) are skew lines and hence find the shortest distance between them.

Determine whether the three vectors 2hat(i)+3hat(j)+hat(k),hat(i)-2hat(j)+2hat(k)and3hat(i)+hat(j)+3hat(k) are coplanar.

Show that four points whose position vectors are given 6hat(i)-7hat(j) ; 16hat(i)-19hat(i)-4hat(k) ; 3hat(i)-6hat(k) ; 2hat(i)-5hat(j)+10hat(k) are co-planar

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

    |