Home
Class 11
PHYSICS
If veca=x1veci+y1vecj and vecb=x2veci+y2...

If `veca=x_1veci+y_1vecj and vecb=x_2veci+y_2vecj`, find the condition that would make them (i)perpendicular to each other, (ii)parallel to each other.

Text Solution

Verified by Experts

The correct Answer is:
(i)`y_1y_2=-x_1x_2` (ii)`x_1/y_1=x_2/y_2`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSION

    NN GHOSH|Exercise EXERCISE|26 Videos

  • VELOCITY OF SOUND

    NN GHOSH|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

If veca = x_(1) hati + y_(1)hatj & vecb = x_(2)hati + y_(2) hatj . The condition that would make veca & vecb parallel to each other is ________.

If vec(a)=x_(1)hat(i)+y_(1)hat(j) & vec(b)=x_(2)hat(i)+y_(2)hat(j) . The condition that would make vec(a) & vec(b) parallel to each other is _____________?

If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB .

IF veca=2veci+3vecj+4veck and vecb =4veci+3vecj+2veck find the angle between veca and vecb .

Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck . Find the angle between them.

Prove that the line x/a + y/b =1 and x/b - y/a =1 are perpendicular to each other.

If veca=2veci+3vecj and vecb=veci+vecj , find (i) veca.vecb , (ii) vecaxxvecb and (iii) vecbxxveca

If vecA=4veci-2hatj+4hatk and vecB=-4hati+2hatj+alphahatk are perpendicular to each other then find value of (alpha) ?

If veca=3veci-2vecj and vecb=2veci+3vecj , calculate (i) veca+vecb , (ii) veca-vecb , (iii) vecb-veca

If veca=2veci-3vecj+2veck and vecb=veci+2vecj+veck , find (i) veca.vecb , (ii) vecaxxvecb and (iii) vecbxxveca

NN GHOSH-VECTOR AND SCALARS-All Questions
  1. If veca=2veci+3vecj and vecb=veci+vecj, find (i)veca.vecb, (ii)vecaxxv...

    Text Solution

    |

  2. If veca=2veci-3vecj+2veck and vecb=veci+2vecj+veck, find (i)veca.vecb,...

    Text Solution

    |

  3. If veca=x1veci+y1vecj and vecb=x2veci+y2vecj, find the condition that ...

    Text Solution

    |

  4. If veca=4veci-3vecj and vecb=6veci+8vecj, find the magnitude and direc...

    Text Solution

    |

  5. Three vectors which are coplanar with respect to a certain reactangula...

    Text Solution

    |

  6. Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3vec...

    Text Solution

    |

  7. A car is driven eastward for a distance of 50 km, then northward for 3...

    Text Solution

    |

  8. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

    Text Solution

    |

  9. Find the direction cosines and unit vector along the vector vecr=2veci...

    Text Solution

    |

  10. Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c...

    Text Solution

    |

  11. Show that if vecA. (vecBxxvec c)=0, then vecA, vecB and vec c are copl...

    Text Solution

    |

  12. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

    Text Solution

    |

  13. Prove that for a vector veca defined by veca=axveci+ayvecj+azveck, the...

    Text Solution

    |

  14. If vecb and vec c be the intersecting face-diagonals of a cube of edge...

    Text Solution

    |

  15. Show that the position vector of a place on the surface of the earth w...

    Text Solution

    |

  16. A man rows a boat with a speed 10 m/s along N-E direction. The shore l...

    Text Solution

    |

  17. A force vecF=5veci+2vecj+veck displaces a body from a point with coord...

    Text Solution

    |

  18. If the sum and difference of two vectors are at right angles, show tha...

    Text Solution

    |

  19. Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2.

    Text Solution

    |

  20. Show that if two vectors are equal in magnitude, their vector sum and ...

    Text Solution

    |