A small plane is flying horizontally due east in calm air at 175 mi/hr when it is hit by a horizontal crosswind blowing northwest at 40 mi/hr and a 30 mi/hr updraft. Find he 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 (Di+ Oi+ Ok. Type exact answers, using radicals as needed.)

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