A plane flies with velocity v = (220, 90, 10) km/h. A wind is blowing out of the northeast with velocity w = (-30, -30, 0) km/h. (a) Express the wind vector as a sum of vectors, one parallel to the plane's velocity, one perpendicular to it. (b) Is the parallel part of the wind blowing with or against the plane? (c) If we account for both v and w, what is the direction vector that describes the actual motion of the plane?

A plane flies with velocity v = (220, 90, 10) km/h. A wind is blowing out of the northeast with velocity w = (-30, -30, 0) km/h. (a) Express the wind vector as a sum of vectors, one parallel to the plane's velocity, one perpendicular to it. (b) Is the parallel part of the wind blowing with or against the plane? (c) If we account for both v and w, what is the direction vector that describes the actual motion of the plane?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 45E

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