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?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...
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Question
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?
Answer:
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?
Answer:
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