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|18 Videos
  • WAVE OPTICS

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

Similar Questions

Explore conceptually related problems

Find the scalar product of vectors veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

Unit vector perpnicular to vector A=-3hati-2hatj -3hatk and 2hati + 4hatj +6hatk oth is

Find the scalar and dot product of vectors hati+2hatj-3hatk and 2hati-hatj+hatk.

Find the unit vector perpendicular to ltbr. vecA=3hati+2hatj-hatk and vecB=hati-hatj+hatk

A vector P=3hati-2hatj+ahatk is perpendicular to the vector Q=2hati+hatj -hatk, The value of a is

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

Find the projection of the vector hati-2hatj+hatk on the vector 4hati-4hatj+7hatk .

For the two vectors vecA=2hati-hatj and vecB=hati + alpha hatj+3hatk , perpendicular to each other , find the value of a .

Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well as vecB=(hati+hatj-hatk)

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. (a) Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-...

    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

    |