Vectors A and B lie in the xy-plane. Vector A has a magnitude of 18.1 and is at an angle of 160.5° counterclockwise from the +x-axis. Vector B has a magnitude of 26.9 and is 195.3° from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, Ã = A¸i + Aÿj + A₂k B = B¸i + B₂j + B₂k where Ax, Ay, A₂ and Bx, By, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. A = B =
Vectors A and B lie in the xy-plane. Vector A has a magnitude of 18.1 and is at an angle of 160.5° counterclockwise from the +x-axis. Vector B has a magnitude of 26.9 and is 195.3° from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, Ã = A¸i + Aÿj + A₂k B = B¸i + B₂j + B₂k where Ax, Ay, A₂ and Bx, By, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. A = B =
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 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...
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Question
Vectors ?⃗
and ?⃗
lie in the ??
‑plane. Vector ?⃗
has a magnitude of 18.1
and is at an angle of 160.5∘
counterclockwise from the +?
‑axis. Vector ?⃗
has a magnitude of 26.9
and is 195.3∘
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. Find the magnitude and unit vector for the cross product between ?⃗
and ?⃗ .
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