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A small plane is flying horizontally due east in calm air at 250 mi/hr when it is hit by a horizontal crosswind blowing northwest at 50 mi/hr and a 20 mi/hr updraft. Find the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground. Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane, the crosswind, and the updraft. What is the position vector that represents the velocity of the plane relative to the ground? The vector is (D) i+ (D)] i (D) k. (Type exact answers, using radicals as needed.) The resulting speed of the plane is approximately D I:I (Round to the nearest whole number as needed.) Which of the following is a correct sketch of the approximate direction of the velocity relative to the ground? OA. O B. O C.