Home
Class 12
PHYSICS
If vector vecP=a hati + a hatj +3hatk a...

If vector ` vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk ` are perpendicular to each other , then the positive value of a is

A

`((hat(i)+hat(j)))/sqrt(2)`

B

`((hat(i)-hat(j)))/sqrt(2)`

C

`sqrt(2)(hat(i)+hat(j))`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Here `alpha=45^(@)` so inclination of AC with x-axis is `45^(@)`. So unit velocity along AC
`=cos 45^(@) hat(i) + sin 45^(@)hat(j)=(hat(i)+hat(j))/sqrt(2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk , are perpendicular to each other. The positive value of a is

If the vectors vecP=ahati+ahatj+3hatk' and 'vecQ=ahati-2hatj-hatk are perpendicular to each other. Find the value of a ?

Show that vecA=2hati-hatj+2hatkandvecB=2hati+2hatj-hatk are perpendicular to each other.

Two vectors vecA=3hati+2hatj+hatk" and "vecB=5hatj-9hatj+Phatk are perpendicular to each other. The value of 'P' is :-

If the vectors 2 hati +2 hatj - hatk and 3 hati - 6hatj +nhatk are mutually perpendicular, find the value of n ?

For what value of x , will the two vector A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk are perpendicular to each other ?

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

Prove that the vectors A=2hati-3hatj+hatk and B=hati+hatj + hatk are mutually perpendicular .

A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

If the vectors 2hati+2hatj-hatk " and " 3hati-6hatj+nhatk are mutually perpendicular, find the value of n?

ALLEN-BASIC MATHS-Exercise-02
  1. The magnitude of resultant of two equal forces is double the magnitude...

    Text Solution

    |

  2. A force (3hati+4hatj) newton acts on a boby and displaces it by (2hati...

    Text Solution

    |

  3. If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk ...

    Text Solution

    |

  4. The vector sum of two forces is perpendicular to their vector differen...

    Text Solution

    |

  5. Vectors vecA, vecB and vecC are such that vecA.vecB=0 and vecA.vecC=0....

    Text Solution

    |

  6. Two physical quantities A and B different dimensions. Which mathematic...

    Text Solution

    |

  7. If the dimensions of a physical quantity are given by ["M"^(a)"L"^(b)"...

    Text Solution

    |

  8. If E , M , J , and G , respectively , denote energy , mass , angular m...

    Text Solution

    |

  9. The dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

    Text Solution

    |

  10. In terms of basic units of mass (M) , length (L) , time (T) and charge...

    Text Solution

    |

  11. The dimension of magnetic field in M, L, T and C (Coulomb) is given as

    Text Solution

    |

  12. The density of material in CGS system of mass is 4g cm^(3) in a system...

    Text Solution

    |

  13. Dimensional formula of DeltaQ, heat supplied to the system is:

    Text Solution

    |

  14. Dimensions of 1(mu(0)epsilon(0)) where symbols have their usual meanin...

    Text Solution

    |

  15. The dimensions of the quantity vecE xx vecB, where vecE represents the...

    Text Solution

    |

  16. Write the dimensional formula of angular momentum. Is it scalar or vec...

    Text Solution

    |

  17. The Bernoulli's equation is given by p+(1)/(2)rhov^(2)+hrhog=k. Where ...

    Text Solution

    |

  18. When a wave travells in a medium, the displacement of a particle locat...

    Text Solution

    |

  19. Which of the following sysmte of units is not based on unit of mass, l...

    Text Solution

    |

  20. Which of the following is unitless quantity?

    Text Solution

    |