Adiana

Popular questions and responses by Adiana
  1. math vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can you help me think of an

    asked on February 27, 2015
  2. Vectors

    a) Let Vector a = (3, 4, 1), Vector b = (5, -2, 3) and Vector c = (0, 1, -3). Find the triple product, Vector a • (Vector b × Vector c).

    asked on February 23, 2015
  3. Vectors

    b) Explain why (Vector a • Vector b) × Vector c does not exist.

    asked on February 23, 2015
  4. Vectors

    Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector?

    asked on February 23, 2015
  5. Vectors

    Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k(Vector a × Vector b) = (kVector a) × Vector b = Vector a × (kVector b)? Expand to the general case to prove your theory.

    asked on February 23, 2015
  6. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.

    asked on February 23, 2015
  7. Vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-sapce to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.

    asked on February 23, 2015
  8. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

    asked on February 23, 2015
  9. Vectors

    Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)

    asked on February 23, 2015