Home
Class 14
MATHS
The vectors hat(i)- 2x hat(j) - 3y hat(k...

The vectors `hat(i)- 2x hat(j) - 3y hat(k) and hat(i) + 3x hat(j) + 2y hat(k)` are orthogonal to each other. Then, the locus of the point (x, y) is:

A

a straight line

B

An ellipse

C

A parabola

D

Circle

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

Similar Questions

Explore conceptually related problems

If the vectors -hat(i)-2xhat(j)-3y hat(k) and hat(i)-3x hat(j)-2y hat(k) are orthogonal to each other, then what is the locus of the point (x, y) ?

The vectors hat(i)- x hat(j)- y k and hat(i) + x hat(j) + y hat(k) are orthogonal to reach other, then what is the locus of the point (x,y)?

If the vectors hat(i)-2 x hat(j)-3yhat(k) and hat(i)+3xhat(j)+2yhat(k) are orthogonal to each other, then what is the locus of the point (x, y) ?

If the vectors hat(i)-x hat(j)-y hat(k) and hat(i)+x hat(j)+y hat(k) are orthogonal to each other, then what is the locus of the point (x, y) ?

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

If the vectors 3 hat i +3 hat j +9 hat k and hat i +a hat j +3 hat k are parallel, then a =

If vectors vec(a) = 3 hat(i) + hat(j) - 2 hat(k) and vec(b) = hat(i) + lambda(j) - 3 hat (k) are perpendicular to each other , find the value of lambda .

The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3hat(i)-hat(j)+2hat(k) is :

If the vectors hat i+3hat j+4hat k,lambdahat i-4hat j+hat k ,are orthogonal to each other,then lambda=

Show that If vec(a)=x hat(i)+2hat(j)-z hat(k) and vec(b)=3hat(i)-y hat(j)+hat(k) are two equal vectors, then x+y+z=0 .

PUNEET DOGRA-VECTOR-Prev Year Questions
  1. What is the area of the triangle with vertices (1, 2, 3), (2, 5, -1) a...

    Text Solution

    |

  2. If vec(c ) is the unit vector perpendicular to both the vector vec(a) ...

    Text Solution

    |

  3. The vectors hat(i)- 2x hat(j) - 3y hat(k) and hat(i) + 3x hat(j) + 2y ...

    Text Solution

    |

  4. For what value of m are the point with position vectors, 10 hat(i) + 3...

    Text Solution

    |

  5. For what value of m are the vector 2hat(i) - 3hat(j) + 4hat(k), hat(i)...

    Text Solution

    |

  6. If x hat(i) + y hat(j) + z hat(k) is a unit vector and x:y:z= sqrt3:2:...

    Text Solution

    |

  7. What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the v...

    Text Solution

    |

  8. If the vector vec(a) lies in the planar of vectors vec(b) and vec(c ),...

    Text Solution

    |

  9. What is the sine of the angle between the vectors hat(i) + 2hat(j) + 3...

    Text Solution

    |

  10. If p, q, r and s be respectively the magnitude of the vectors 3hat(i)-...

    Text Solution

    |

  11. Which one of the following is the unit vector perpendicular to the vec...

    Text Solution

    |

  12. Consider the following statements in respect of the vectors vec(u)(1)=...

    Text Solution

    |

  13. If the position vector of a point p with respect to the origin O is ha...

    Text Solution

    |

  14. ABCD is a quadrilateral. Force vec(AB), vec(CB), vec(CD) and vec(DA) a...

    Text Solution

    |

  15. PQRS is a parallelogram, where vec(PQ) = 3hat(i) + 2hat(j) - m hat(k) ...

    Text Solution

    |

  16. What is the value of b such that the scalar product of the vector hat(...

    Text Solution

    |

  17. Let a, b and c b the distinct non-negative numbers. If the vectors a h...

    Text Solution

    |

  18. What is the vector equally inclined to the vectors hat(i)+ 3hat(j) and...

    Text Solution

    |

  19. Find the area of the triangle whose vertices are A(3, -1,2) ,B(1, - 1,...

    Text Solution

    |

  20. If   vec(a) = hat(i)- hat(k) , vec(b) = x hat(i) + hat(j) + (1-x) hat(...

    Text Solution

    |