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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Which of the following is not a vector quantity?

    Text Solution

    |

  6. A vector with magnitude zero is called a

    Text Solution

    |

  7. The magnitude of a vector can never be

    Text Solution

    |

  8. The vector in the direction of the vector hat i- 2hat j +2hat k that h...

    Text Solution

    |

  9. The position vector of the point which divides the join of points 2 ve...

    Text Solution

    |

  10. The magnitude of the vector 6 hati+2 hat j+3 hat k is

    Text Solution

    |

  11. The position vector of the point which divides the join of points with...

    Text Solution

    |

  12. The value of λ for which the vectors 3 hat i-6hat j +hat k and 2 hat i...

    Text Solution

    |

  13. If vec a and vec b are non-collinear proper vectors then number of uni...

    Text Solution

    |

  14. If θ is the angle between two proper vectors vec a and vec b, then vec...

    Text Solution

    |

  15. If vec a is any vector, then vec a*vec a

    Text Solution

    |

  16. For any vector, vec a, vec a xx vec a

    Text Solution

    |

  17. The vector having initial and terminal points as (2,5,0) and (-3,7,4) ...

    Text Solution

    |

  18. The angle between two vectors vec a and vec b with Magnitudes sqrt3 an...

    Text Solution

    |

  19. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

    Text Solution

    |

  20. Find the angle between the vectors hat i-hat j and hat j-hat k.

    Text Solution

    |