Mamthematics - Vectors

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a) If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal.

b) Verify this property using vectors collinear with the unit vector, i, j and k

c) Use tis property to detemine a set of three mutually orthaogonal vectors.

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