Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Ben C asked in Science & MathematicsPhysics · 1 decade ago

what is the terms when you have a set of vectors describing a space?

where no vector can be described by any combination of the other vectors

2 Answers

Relevance
  • Al P
    Lv 7
    1 decade ago
    Favorite Answer

    An orthogonal basis for the vector space.

    A system of N mutually orthogonal basis vectors

    that "describe" and span the vector space.

    The Cartesian basis vectors:

    V = (100, 010, 001)

    are linearly independent: any component

    vector in the space cannot be created by

    combining the other two. Or more, in the

    case of N dimensions.

    The following basis would not be orthogonal:

    V = (111,222,333)

  • 1 decade ago

    Those vectors are linearly independent.

Still have questions? Get your answers by asking now.