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^(@)` with the positive direction of x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(3))/(2)hati+(1)/(2)hatj`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.4|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

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 the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30^0 with the positive direction of the x-axis.

Particle A moves along X-axis with a uniform velocity of magnitude of m/s. Particle B moves with uniform velocity 20 m/s along a direction making an angle of 60^(@) with the positive direction of X - axis as shown in the figure. The relativity velocity of B with respect to that of A is

Find the distance from the point P(4,1) to the line 4x-y=0 measured along the line making and angle 135^(@) 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 lines : Making inclination of 60^(@) with the positive direction of x- axis.

A straight line passes throught the point (-1,4) and makes an angle 60^(@) with the positive direction of the x- axis . Find the equation of the straight line.

Find the point in the first quadrant and lying on the hyperbola 5x^(2)-3y^(2)=-6 at which the tangent to the hyperbola makes an angle 45^(@) with the positive direction of the x-axis.

Determine x so that the line passing through (3,4) and (x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

Find the direction cosines of a straight line which is situate on yz-plane and inclined at an angle 60^@ with poistive direction of z-axis.

NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  5. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

  6. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

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

    Text Solution

    |

  14. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  17. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  18. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |