Home
Class 12
MATHS
In a triangle ABC , right angled at the ...

In a triangle ABC , right angled at the vertex A , if the position vectors of A , B and C are respectively `3 hati + hatj-hatk , -hati + 3hatj + phatk` and `5 hati + q hatj - 4 hatk` , then the point (p,q) lies on a line

A

making an obtuse angle with the positive direction of x-axis

B

parallel to x-axis

C

parallel to y-axis

D

making an acute angle with the positive direction of x-axis

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -1 : CONCEPT BUILDER|60 Videos
  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of P and Q be respectively hati+3hatj-7hatk and 5hati-2hatj+4hatk and vec(PQ)

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

If the position vectors of the vertices of a triangle of a triangle are 2 hati - hatj + hatk , hati - 3 hatj - 5 hatk and 3 hati -4 hatj - 4 hatk , then the triangle is

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A,B and C are (2hati + hatj - hatk), (3hati - 2hatj + hatk) and (hati + 4hatj - 3hatk) respectively. Show that the points A,B and C are collinear.

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

Find a unit vector perpendicular to plane ABC when position vectors of A,B,C are 3 hati - hatj + 2hatk, hati - hatj- 3hatk and 4 hati - 3 hatj + hatk respectively.

If ABCD is a parallelogram and the position vectors of A,B and C are hati+3hatj+5hatk, hati+hatj+hatk and 7 hati+7hatj+7hatk , then the poisitionn vector of D will be

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. In a triangle ABC , right angled at the vertex A , if the position vec...

    Text Solution

    |

  2. The points D, E, F divide BC, CA and AB of the triangle ABC in the ra...

    Text Solution

    |

  3. OABCDE is a regular hexagon of side 2 units in the XY-plane in the ...

    Text Solution

    |

  4. The vectors bara (x) = cos xbar i + sin xbar j ,bar b(x)=xbar i + sin ...

    Text Solution

    |

  5. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  6. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

    Text Solution

    |

  7. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

    Text Solution

    |

  8. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

    Text Solution

    |

  9. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

    Text Solution

    |

  10. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  11. A non-zero vecto veca is such tha its projections along vectors (hati ...

    Text Solution

    |

  12. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

    Text Solution

    |

  13. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  14. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

    Text Solution

    |

  15. If the positive numbers a, b and c are the pth, qth and rth terms of G...

    Text Solution

    |

  16. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  17. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

    Text Solution

    |

  18. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

    Text Solution

    |

  19. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

    Text Solution

    |

  20. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

    Text Solution

    |

  21. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

    Text Solution

    |