Home
Class 12
MATHS
Find x and y for which the vectors 2hati...

Find `x` and `y` for which the vectors `2hati+3hatj` and `xhati+yhatj` are equal

Text Solution

Verified by Experts

The correct Answer is:
`x=2, y=3`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (c ) Long Answer Type Questions (I)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (c ) Long Answer Type Questions (II)|3 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (b) Short Answer Type Questions|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find the values of x and y so that the vector 3hati+4hatj and xhati+yhatj are equal.

Find the values of x and y so that the vectors 2hati+3hatj & x hati+yhatj are equal

Find the values of x & y so that vectors 2hati+3hatj and xhati+Yhatj are equal.

Find the values of x,y and z so that the vectors 3hati+hatj+4hatk and xhati+yhatj+zhatk are equal,

Find the value of a for which the vectors 3 hati + 3hatj + 9 hatk and hati + a hatj +3 hatk are parallel.

the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is

The angle between the vector -hati+hatj and 2hati+3hatj is :

Find the values of x,y and z so that vectors veca=xhati+4hatj+zhatk and vecb=3hati+yhatj+hatk are equal.

hati and hatj are unit vectors along x-axis and y-axis respectively what is the magnitude and direction of the vector hati+hatj and hati-hatj ? What are the magnitudes of components of a vector veca=2hati+3hatj along the directions of hati+hatj and hati-hatj ?

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

    Text Solution

    |

  2. Find the unit vector in the direction of vector -> P Q , where ...

    Text Solution

    |

  3. Find x and y for which the vectors 2hati+3hatj and xhati+yhatj are equ...

    Text Solution

    |

  4. Find the values of x, y and z so that the vectors -> a=x hat i+2 hat ...

    Text Solution

    |

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

    Text Solution

    |

  6. Show that the vector hat i+ hat j+ hat k is equally inclined with the...

    Text Solution

    |

  7. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

    Text Solution

    |

  8. A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(...

    Text Solution

    |

  9. P and Q are two points with position vectors 3 vec a-2 vec b and v...

    Text Solution

    |

  10. X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)...

    Text Solution

    |

  11. Find the position vector of the mid-point of the vector joining point ...

    Text Solution

    |

  12. Find the position vector of the mid point of the ne segment A B ,\ wh...

    Text Solution

    |

  13. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

    Text Solution

    |

  14. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

    Text Solution

    |

  15. Find a vector in the direction of : vec(a)=hat(i)-2hat(j)+2hat(k),...

    Text Solution

    |

  16. Find a vector in the direction of : vec(a)=-2hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  17. Find the scalar components and magnitude of the vector joining the po...

    Text Solution

    |

  18. If |vec(a)|=3, what is : |5vec(a)|

    Text Solution

    |

  19. If |vec(a)|=3, what is : |-2vec(a)|

    Text Solution

    |

  20. If |vec(a)|=3, what is : |0vec(a)| ?

    Text Solution

    |