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Find the intersection of the line (x, y, z) = [1, 4, 2] + t[1, 1, 3] and the plane 2z4y+7z - 26 =

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Find the intersection of the line (x, y, z) = [1, 4, 2] + t[1, 1, 3] and the plane 2z4y+7z - 26 = 0. An airplane is flying at an air speed of 420 km/h on a heading of 210. A 45-km/h wind is blowing at a bearing of 230. Determine the bearing and ground velocity of the airplane using geometric vectors.

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