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

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).

3. ## Vectors

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

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?

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.

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.

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.