Home
Class 11
PHYSICS
Position coordinates of the points A, B,...

Position coordinates of the points A, B,C are (1,2,3),(2,3,1) and (3,1,2) respectively. Using vector method, find the area of the triangle .

Text Solution

Verified by Experts

The correct Answer is:
`(3(sqrt(3)))/2 unit^2`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-II|34 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-II (Hot Numerical Problems)|24 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise EXERCISE (Short Answer Type Questions-II)|2 Videos
  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

If the coordinates of the points A, B and C are (2, 6, 3), (1, 2, 7) and (3, 10, -1) respectively, show by vector method that the points A, B and C are collinear.

The three vertices of the triangle ABC are A(2,3,5) B(3,5,8) and C(2,7,8) : using vector method find the area of the triangle ABC.

If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD.

Position coordinates of A and B are (-1,5,7) and (3,2,-5) respectively. Express vec(AB) in terms of position coordinates.

Prove that the triangle formed by joining the three points whose co-ordinates are (1,2,3) (2,3,1) & (3,1,2) respectively is an equilateral triangle.

the coordinates of the vertices A,B,C of the triangle ABC are (7,-3) , (x,8) and (4,y) respectively , if the coordinates of the centroid of the triangle be (2,-1) , find x and y.

The coordinates of the points A and B are (3,sqrt(3))and(0,2sqrt(3)) respectively , if ABC be an equilateral triangle find the coordinates of C.

The coordinates of the vertices A ,B and C of the triangle ABC are (-1,3),(1,-1) and (5,1) respectively . Find the length of the median through the vertex A.

The coordinates of the vertices A, B and C of a triangle ABC are (0,5), (-1,-2) and (11,7) respectively . Find the coordinates of the foot of the perpendicular from B on AC.

The centroid of a triangle ABC is at the point (1,1,1) if the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively find the coordinates of the point C

CHHAYA PUBLICATION-VECTOR-PROBLEM SET-I
  1. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

    Text Solution

    |

  2. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

    Text Solution

    |

  3. A stone is thrown up from the earth's surface with an initial velocit...

    Text Solution

    |

  4. If the range of a projectile, projected from the surface of the eart...

    Text Solution

    |

  5. A soldier fires a bullet horizontally from the top a cliff with a vel...

    Text Solution

    |

  6. Show that the maximum height attained by a projectile is one fourth of...

    Text Solution

    |

  7. Find the magnitude of the vector 3hati+4hatj+12hatk and the angles it ...

    Text Solution

    |

  8. What is the value of the resultant of three vectors hati , hatj and sq...

    Text Solution

    |

  9. Position coordinates of the points A, B,C are (1,2,3),(2,3,1) and (3,1...

    Text Solution

    |

  10. If vecA=5hati+3hatj-4hatk and vecB=5hati+2hatj+4hatk are two vectors, ...

    Text Solution

    |

  11. Find the magnitudes of the sum and difference of two vectors 6hati-4ha...

    Text Solution

    |

  12. Show that the magnitude of vecAxxvecB and area of a parallelogram of...

    Text Solution

    |

  13. Determine the angle between vecA=2hati-2hatj+hatk and vecB=3hati+hatj-...

    Text Solution

    |

  14. If vecA=hati+4hatj+hatk and vecB=3hati-5hatj+hatk, find the unit vect...

    Text Solution

    |

  15. Show that the vectors veca=3hati-2hatj+hatk, vecb=hati-3hatj+5hatk and...

    Text Solution

    |

  16. If the mid-points of the consecutive sides of any quan riateral are ...

    Text Solution

    |

  17. Prove that |axxb|^2=a^2b^2-(a*b)^2.

    Text Solution

    |

  18. Find the magnitude and direction of veca=3hati+4hatj. What are the co...

    Text Solution

    |

  19. Which vector is to be added with 3hati+4hatj-5hatk and hati-2hatj+7hat...

    Text Solution

    |

  20. Find the direction cosines for the vector veca=4hati+6hatj-5hatk.

    Text Solution

    |