Home
Class 12
MATHS
If a is any vector, then (a xxhati)^(2...

If a is any vector, then
`(a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)` is equal to

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos
  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(vecaxxhatk)^(2) is equal to

If vec a is any vector, then ( vec axx hat i)^2+( vec axx hat j)^2+( vec axx hat k)^2=

For any vectors a,b,|axxb|^(2)+(a*b)^(2) is equal to

If veca is any vector, then show that veca=(veca.hati)hatj+(veca.hatj)hatj+(veca.hatk)hatj .

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2hati+4hatj-5hatk and lambdahati+2hatj+3hatk is equal to one. Find the value of lambda .

A unit vector hata makes an angle pi/4 with z-axis, if hata+hati+hatj is a unit vector then hata is equal to (A) hati+hatj+hatk/2 (B) hati/2+hatj/2-hatk/sqrt(2) (C) -hati/2-hatj/2+hatk/sqrt(2) (D) hati/2-hatj/2-hatk/sqrt(2)

The scalar product of the vector hati+2hatj+2hatk with a unit vector along the sum of vectors 3hati-4hatj+6hatk and lambdahati-3hatj+4hatk is equal to one. Find the value of lambda .

Magnitude of the vectors 2/(sqrt(3))hati+2/(sqrt(3))hatj+2/(sqrt(3))hatk is equal to

the unit vector orthogonal to vector -hati+2hatj+2hatk and making equal angles with the x- and y-axes is

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

    Text Solution

    |

  2. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

    Text Solution

    |

  3. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

    Text Solution

    |

  4. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

    Text Solution

    |

  5. If a non-zero vector vec a makes an angle α with positive direction o...

    Text Solution

    |

  6. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

    Text Solution

    |

  7. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

    Text Solution

    |

  8. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

    Text Solution

    |

  9. If vec(a) + vec(b) + vec(c) = 0 and |vec(a)| = 3, |vec(b)| = 5, |vec(c...

    Text Solution

    |

  10. If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1,...

    Text Solution

    |

  11. If the vectors vec a, vec b, vec c are coplanar then (vec a xx vec b)*...

    Text Solution

    |

  12. The value is (hat k xx hat j)* hat i +hat j* hatk is.............

    Text Solution

    |

  13. Find the projection of the vector hat i - hat j on the vector hat i +...

    Text Solution

    |

  14. In case of each of the following statements, state whether it is true ...

    Text Solution

    |

  15. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |

  16. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |

  17. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |

  18. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |

  19. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |

  20. Incase of each of the following statements, state whether it is true o...

    Text Solution

    |