Proof: zero scalar product with any vector
Open answerShow that if a vector u in a space satisfies u.v = 0 for EVERY vector v in the space, then u must be the zero vector. (Hint: choose v = u.)
Show that if a vector u in a space satisfies u.v = 0 for EVERY vector v in the space, then u must be the zero vector. (Hint: choose v = u.)