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 : For any two non-zero vectors `vec a and vec b`, `(vec a- vecb)^2 = (vec a)^2 +(vec b)^2 - 2vec a*vec b`

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 two vectors vec a, vec b : |vec a*vec b| le |vec a||vec b|

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

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 : If |vec a+ vec b| =|vec a- vec b| then the vectors vec a and vec b are orthogonal.

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a rhomus, then (vec a+ vec b)*(vec a- vec b) ne 0 .

In case of each of the following statements, state whether it is true or false : If |vec a|= |vec b| then necessarily it implies that |vec a|= pm |vec b|

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a rhombus, then vec a * vec b= 0 .

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a parallelogram, then vec a* vec b =0

Incase of each of the following statements, state whether it is true or false : Direction cosines of a non-zero vector vec a are the components of a unit vector in the direction of vec a .

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

    Text Solution

    |

  5. Position vector of a point P is vectors whose initial point is origin.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A vector with magnitude zero is called a

    Text Solution

    |

  15. The magnitude of a vector can never be

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |