33Vector magnitude and dot product

u = ⟨3, −4⟩ and v = ⟨−1, 2⟩. Find |u| and u · v.

The magnitude is |u| = 5, found from √(3² + (−4)²) = √25 = 5. The dot product is u·v = (3)(−1) + (−4)(2) = −3 − 8 = −11.