Given a right triangle with the vertices of (x1, y1), (x2, y2), and (x2, y1), write a two-column proof for the distance formula, which states that the distance
between the points (x1, y1) and (x2, y2) is d = V (22 – 21) + (92 – yı)”.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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1. minimum

2. 6400

3. eight

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rotation point l

step-by-step explanation: