Home
Class 12
MATHS
OABCDE is a regular hexagon of side 2...

OABCDE is a regular hexagon of side 2 units in the XY-plane in the first quadrant. O being the origin and OA taken along the x-axis. A point P is taken on a line parallel to the z-axis through the centre of the hexagon at a distance of 3 unit from O in the positive Z direction. Then find vector AP.

A

`-hati + 3hatj + sqrt5hatk `

B

`hati - sqrt3hatj + 5hatk `

C

`-hati + sqrt3hatj + 5hatk `

D

`hati + sqrt3 hatj + sqrt5hatk `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

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

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Write a linear equation representing a line which is parallel to y-axis and is at a distance of 2 units on the positive side of x -axis

Find the equation of the a circle which touches y-axis at a distance of 4 units from the origin and cuts an intercept of 6 units along the positive direction of x-axis.

Write the linear equation which is parallel to x axis and is at distance of 2 units from the origin in upwards direction

Find the equation of the straight lines which are : parallel to the y-axis and at a distance of 4 units from it towards negative side of x-axis.

Find the equation of the line through the point (0, 2) making an angle pi/6 with the positive x-axis. Also find the equation of the line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Find the equation of a circle which touches y- axis at a distance of 2 units from the origin and cuts an intercept of 3 units with the positive direction of x -axis

Find the lines through the point (0,2) making angles (pi)/(3) and (2 pi)/(3) with the x -axis.Also,find the lines parallel to the cutting the y-axis at a distance of 2units below the origin.

Find the equation of the line passing through (0,2) making an angle (2pi)/3 with the positive X-axis. Also find the equation of the line parallel to it and crossing the Y-axis at a distance of two units below the origin.

Find the equation of the line intersecting the y-axis at a distance 2 units above the origin and making an angle of 30^0 with the positive direction of x-axis.

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. The points D, E, F divide BC, CA and AB of the triangle ABC in the ra...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |