The three basis vectors are mutually perpendicular.

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Presentation transcript:

The three basis vectors are mutually perpendicular.

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

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

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.