Home
Class 12
MATHS
Incase of each of the following statemen...

Incase of each of the following statements, state whether it is true or false : `(hat i xx hat j)* hat k= 1 = hat i *(hat jxx hatk)`

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

Incase of each of the following statements, state whether it is true or false : For any vector vec a,( vec a* hat i)hat i +( vec a* hat j)hat j+ (vec a* hat k)hat k= vec a

Incase of each of the following statements, state whether it is true or false : For any vector vec a , (vec a xxhat i) hat i + (vec a xx hat j) hat j+ (vec a xx hat k) hat k = vec a

Incase of each of the following statements, state whether it is true or false : For any vector vec a, (vec a* hat i)^2 + (vec a* hat j)^2+ (vec a* hat k)^2= (vec a)^2

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

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

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

State true or flase for the following statements : The value of lambda if (2 hat(i) + 6hat(j) + 14 hat(k)) (hat(i) - lambda hat(j) + 7 hat(k)) = vec(0) is - 2.

Find λ and μ if (hat i+3 hat j+9 hat k) xx (3 hat i-λ hat j+μ hat k) = vec 0 .

Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k) .

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A vector with magnitude zero is called a

    Text Solution

    |

  8. The magnitude of a vector can never be

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |