2. The three basis vectors are mutually perpendicular.

3. The three basis vectors are mutually perpendicular and also have a length of one.

4. 1. Demonstrate that the vectors form a basis and calculate the coordinates of the vector (1, −1, 0) on that basis.

5. Therefore, the three vectors are linearly independent and form a basis. The coordinates of the vector (1, −1, 0) with respect to the basis are: Vector.

6. http://www.vitutor.com/geometry/vectors/basis_vector.html#onb