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The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.

Jun 11, 2020

‖a⃗‖ = $$\sqrt{(4 - (-2))^2 + (-2 - (-5))^2} = \sqrt{6^2 + 3^2} = 3\sqrt 5$$