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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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with this problem as well as the parts since I am really having a difficult time trying to do this problem can you help me can you please do a step by step full detail using math so I can understand and follow along 

can you please do this problem step by step and can you label the parts as well, thank you

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?
Transcribed Image Text: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?
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