Home
Class 12
MATHS
If A(0,1,1), B(3, 1,5) and C(0, 3, 3) ar...

If A(0,1,1), B(3, 1,5) and C(0, 3, 3) are three points show that `DeltaABC` is right angled at C.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.4|7 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.5|10 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.2|13 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

If A(-1,1) , B(1,3) and C(3,a) are points and if AB = BC , then

Given A(1,1,1) , B(1, 2, 3) and C(2, 3, 1) are the vertices of DeltaABC . Find the area of DeltaABC .

A(-3,2),B(3,2) and C(-3,-2) are the vertices of the right trinagle ,right angled at A. Show that the mid point of the hypotenus is equidistant form the vertices.

Let A=(1,2,3) , B=(3,−1,5) , C=(4,0,−3) , then angle A is

If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, then the value of p for which the area of triangle A B C is the minimum is 1/(sqrt(3)) (b) -1/(sqrt(3)) 1/(sqrt(2)) (d) none of these

Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of a plane parallel to the plane A B C which is at distance 2 is a. 2x-3y+z+2sqrt(14)=0 b. 2x-3y+z-sqrt(14)=0 c. 2x-3y+z+2=0 d. 2x-3y+z-2=0

Consider three points A(-1, 1), B(0, 5) and C(3, 2) (i) Find the equations of AB, BC and AC (ii) Using integration, find the area of DeltaABC .

Let P=(-1, 0), Q=(0,0) and R=(3, 3sqrt3 ) be three points. The equation of the bisector of the angle PQR is

The volume of a right triangular prism ABCA_1B_1C_1 is equal to 3. If the position vectors of the vertices of thebase ABC are A(1, 0, 1), B(2,0, 0) and C(O, 1, 0) , then position vectors of the vertex A_1 , can be

Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices of an isosceles triangle.

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-ADDITIONAL QUESTIONS FOR PRACTICE 10.3
  1. Find vec a. vec b, when vec a = hat i + hat j + 2 hat k and vec b = 3 ...

    Text Solution

    |

  2. Find the angle between the vectors veca and vecb such that |vec a| = |...

    Text Solution

    |

  3. Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 h...

    Text Solution

    |

  4. Find lambda if the vectors 5 hat i + 2 hat j - hat k and lambda hat i ...

    Text Solution

    |

  5. If vec a = 5 hat i - hat j - 3 hat k and vec b = hat i + 3 hat j - 5 ...

    Text Solution

    |

  6. Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...

    Text Solution

    |

  7. Prove that the vectors 3 hat i + hat j + 3 hat k and hat i - hat k are...

    Text Solution

    |

  8. If A(0,1,1), B(3, 1,5) and C(0, 3, 3) are three points show that Delta...

    Text Solution

    |

  9. If vec a is a unit vector and (vec x - vec a).(vec x + vec a) = 8, the...

    Text Solution

    |

  10. Find the angle betweeen two vectors vec a and vec b with magnitudes 2 ...

    Text Solution

    |

  11. Find |vec a| and |vec b| if (vec a + vec b).(vec a - vec b) = 3 and 2|...

    Text Solution

    |

  12. Find |vec a - vec b|, if |vec a| = 4, vec b = 12 and vec a. vecb = 16.

    Text Solution

    |

  13. Find the magnitude of two vectors veca and vec b having the same magni...

    Text Solution

    |

  14. If theta is the angle between the unti vectors vec a and vec b , then...

    Text Solution

    |

  15. If vec a and vec b are two non- zero vectors such that | vec a + vec b...

    Text Solution

    |

  16. If vec a and vec b are two vectors such that vec a + vec b is perpen...

    Text Solution

    |

  17. If vec a and vec b are orthogonal vectors, prove that (vec a + vec b...

    Text Solution

    |

  18. Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 h...

    Text Solution

    |

  19. If vec a + vec b + vec c=0 and |vec a|=3, |vec b|=5, |vec c| =7, show ...

    Text Solution

    |

  20. (i) Write the scalar componets of 3 hat i - 2 hat j + 5 hat k. (ii) F...

    Text Solution

    |