Home
Class 12
MATHS
Write down a unit vector in XY-plane, ma...

Write down a unit vector in XY-plane, making an angle of `30^o` with the positive direction of x-axis.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Write all the unit vectors in XY-plane.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with positive direction of the x-axis.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4,4) and making an angle of 45^@ with the positive direction of X-axis.

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis, measured anticlockwise.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis measured anticlockwise.

A line through the point A (2, 0), which makes an angle of 30^@ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^@ . Then the equation of the straight line in the new position is :

MODERN PUBLICATION-VECTORS-Exercise
  1. Parallelogram on equal bases and between the same parallels are equal ...

    Text Solution

    |

  2. Write all the unit vectors in XY-plane.

    Text Solution

    |

  3. Write down a unit vector in XY-plane, making an angle of 30^o with the...

    Text Solution

    |

  4. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  5. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

    Text Solution

    |

  6. If veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk an...

    Text Solution

    |

  7. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

    Text Solution

    |

  8. The two adjacent sides of a parallelogram are given by the vectors 2ha...

    Text Solution

    |

  9. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  10. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  11. If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*ve...

    Text Solution

    |

  12. If vecc is normal to veca and vecb, show that vecc is normal to veca+v...

    Text Solution

    |

  13. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  14. Find the area of the parallelogram having diagonals veca+vecb and vecb...

    Text Solution

    |

  15. Prove that the quadrilateral obtained by joining mid-points of adjacen...

    Text Solution

    |

  16. Prove that 1/2 vec(AC)xxvec(BD) represents the vector area of the plan...

    Text Solution

    |

  17. Given veca=1/7(2hati+3hatj+6hatk), vecb=1/7(3hati-6hatj+2hatk) , ve...

    Text Solution

    |

  18. If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and...

    Text Solution

    |

  19. Are vectors veca and -veca collinear ?

    Text Solution

    |

  20. Write two different vectors having same magnitude.

    Text Solution

    |