Home
Class 12
PHYSICS
Consider the two vectors : vecL=1hati+2h...

Consider the two vectors : `vecL=1hati+2hatj+3hatk " and " vecl=4hati+hatj+6hatk`. Find the value of the scalar `alpha ` such that the vector `vecL-alpha vecl` is perpendicular to `vecL`.

Text Solution

Verified by Experts

The correct Answer is:
`(7)/(12)`
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (S-2)|7 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-1) Single Correct Type Questions.|37 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Solved Examples|7 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Previous Year Questions)|7 Videos

Similar Questions

Explore conceptually related problems

Two vectors vecA=4hati+alphahatj+2hatk" and "vecB=2hati+hatj+hatk are parallel if :-

The angle between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hati+4hatj-5hatk will be :

Consider two vectors vecF_(1)=2hati+5hatk and vecF_(2)=3hatj+4hatk . The magnitude of the scalar product of these vectors is

If veca=2hati-hatj-5hatk and vecb=hati+hatj+2hatk , then find scalar and vector product.

Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

Find the angle between the vectors 2hati-hatj+hatk and 3hati+4hatj-hatk .

Find the angle between the vector 2hati-3hatj+hatk and hati+hatj-2hatk .

If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, then the value of x and y will be

Consider three vectors A=hati +hatj-2hatk , B=hati +hatj+2hatk and C= 2hati -3hatj +4hatk A vector X of the from alphaA +betaB (alpha and beta"are numbers") is perpendicular to C .The ratio of alpha and beta is

ALLEN -UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (S-1)
  1. The time period (T) of a spring mass system depends upon mass (m) & s...

    Text Solution

    |

  2. The distance moved by a particle in time from centre of ring under th...

    Text Solution

    |

  3. A satellite is orbiting around a planet. Its orbital velocity (V(0)) i...

    Text Solution

    |

  4. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  5. Given vecF=(veca)/(t) where symbols have their usual meaning. The dime...

    Text Solution

    |

  6. A block is applied two forces of magnitude 5N each. One force is actin...

    Text Solution

    |

  7. Two forces act on a particle simultaneously as shown in the figure. F...

    Text Solution

    |

  8. The maximum and minimum magnitudes of the resultant of two forces are ...

    Text Solution

    |

  9. Three forces of magnitudes 2N, 3N and 6N act at corners of a cube alon...

    Text Solution

    |

  10. The farm house shown in figure has rectangular shape and has sides par...

    Text Solution

    |

  11. Vector B has x,y and z components of 4.00,6.00 and 3.00 units, respect...

    Text Solution

    |

  12. Three ant P,Q and R are pulling a grain with forces of magnitude 6N,3s...

    Text Solution

    |

  13. Three boys are pushing horizontally a box placed on horizontal table. ...

    Text Solution

    |

  14. Consider the two vectors : vecL=1hati+2hatj+3hatk " and " vecl=4hati+h...

    Text Solution

    |

  15. Find component of vector vec(a)=hati+hatj+3hatk in directions parallel...

    Text Solution

    |

  16. Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-2hat...

    Text Solution

    |

  17. If the velocity of a particle is (2hati+3hatj-4hatk) and its accelerat...

    Text Solution

    |

  18. Quito, a city in Ecuador and Kampala, a city situated in Uganda both l...

    Text Solution

    |

  19. Use the approximation (1+x)^(n)~~1+nx,|x|ltlt1, to find approximate va...

    Text Solution

    |

  20. Use the small angle appoximate to find approximate values for (A) sin ...

    Text Solution

    |