Home
Class 12
MATHS
Let A B C be a triangle, the position ve...

Let `A B C` be a triangle, the position vectors of whose vertices are `-10 hat i+10 hat k ,- hat i+6 hat j+6 hat k` and `-4 hat i+9 hat j+6 hat k`. Then `Delta A B C` is a. isosceles b. equilateral c. right angled d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Let A B C be triangle, the position vecrtors of whose vertices are respectively hat i+2 hat j+4 hat k , -2 hat i+2 hat j+ hat ka n d2 hat i+4 hat j-3 hat k . Then "Delta"A B C is a. isosceles b. equilateral c. right angled d. none of these

Find the sum of the vectors -> a= hat i-2 hat j+ hat k , -> b=-2 hat i+4 hat j+5 hat k and -> c= hat i-6 hat j-7 hat k

Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat i+4 hat j+5 hat k\ a n d\ vec c= hat i-6 hat j-7 hat kdot

The four points whose position vector are 6 hat i - 7 hat j,16 hat i - 29 hat j - 4 hat k, 3 hat j - 6 hat k, 2 hat i + 5 hat j + 10 hat k are coplanar

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k

Show that the four points having position vectors 6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ,3 hat j-6 hat k ,2 hat i-5 hat j+10 hat k are coplanar.

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Statement 1 : If three point P, Q and R have position vectors veca, ve...

    Text Solution

    |

  2. In a four-dimensional space where unit vectors along the axes are h...

    Text Solution

    |

  3. Let A B C be a triangle, the position vectors of whose vertices are -1...

    Text Solution

    |

  4. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

    Text Solution

    |

  5. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  6. Prove that the sum of three vectors determined by the medians of a ...

    Text Solution

    |

  7. Prove that the resultant of two forces acting at point O and repres...

    Text Solution

    |

  8. Two forces vec A B and vec A D are acting at vertex A of a quadrilat...

    Text Solution

    |

  9. ABC is a triangle and P any point on BC. If vec(PQ) is the sum of vec(...

    Text Solution

    |

  10. If vector vec a+ vec b bisects the angle between vec a and vec b , ...

    Text Solution

    |

  11. ABCDE is a pentagon. Prove that the resultant of force vec A B , vec...

    Text Solution

    |

  12. if vec (AO) + vec (O B) = vec (B O) + vec (O C) ,than prove that B...

    Text Solution

    |

  13. A unit vector of modulus 2 is equally inclined to x- and y-axes at an ...

    Text Solution

    |

  14. Find the equation of the normal to the curve y=x^(3)+2x+6 which are pa...

    Text Solution

    |

  15. Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- ...

    Text Solution

    |

  16. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , ve...

    Text Solution

    |

  17. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  18. Statement 1:Let A( vec a),B( vec b)a n dC( vec c) be three points such...

    Text Solution

    |

  19. Statement 1: If | vec a+ vec b|=| vec a- vec b|, then vec a and vec b ...

    Text Solution

    |

  20. Statement 1: vec a=3 vec i+p vec j+3 vec k and vec b=2 vec i+3 vec j...

    Text Solution

    |