Answered: › Vectors À and B lie in the xy-plane.…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 33PQ

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Vectors ?⃗ and ?⃗ lie in the ??‑plane. VVectors ?⃗ and ?⃗ lie in the ??‑plane. Vector ?⃗ has a magnitude of 11.6 and is at an angle of 155.5∘ counterclockwise from the +?‑axis. Vector ?⃗ has a magnitude of 28.7 and is 200.3∘ from the +? ‑axis. Resolve ?⃗ and ?⃗ into components, and express using ??? unit vectors, ?⃗ =???+???+??? ?⃗ =???+???+??? where ??, ??, ?? and ??, ??, and ?? are the calculated values of the ?‑, ?‑, and ?‑components of vectors ?⃗ and ?⃗ , respectively. Identify the unit vector for ?⃗ ×?⃗ .

› Vectors À and B lie in the xy-plane. Vector À has a magnitude of 11.6 and is at an angle of 155.5° counterclockwise from the
+x-axis. Vector B has a magnitude of 28.7 and is 200.3° from the +x-axis.
Resolve A and B into components, and express using ijk unit vectors,
A = Axi + Ayj + A₂k
B = B₂i + B₂j + B₂k
where Ax, Ay, Az and Bx, By, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and
B, respectively.
Macmillan Learning
A =
B =
Find the magnitude and unit vector for the cross product between A and B.
|Ã × B| =
Identify the unit vector for AX B.
k

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