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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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 ?⃗ .
< Question 7 of 11 >
O Macmillan Learning
Vectors A and B lie in the xy-plane. Vector À 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
Ā and B into components, and express using ijk unit vectors,
A = A¸¡ + A₂j + A₂k
B = Bxi + B¸j + 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.
À =
B =
Transcribed Image Text:< Question 7 of 11 > O Macmillan Learning Vectors A and B lie in the xy-plane. Vector À 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 Ā and B into components, and express using ijk unit vectors, A = A¸¡ + A₂j + A₂k B = Bxi + B¸j + 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. À = B =
< Question 7 of 11 >
Macmillan Learning
=
B =
Find the magnitude and unit vector for the cross product between A and B.
|Ã × B| =
Identify the unit vector for A x B.
i
j
k
Transcribed Image Text:< Question 7 of 11 > Macmillan Learning = B = Find the magnitude and unit vector for the cross product between A and B. |Ã × B| = Identify the unit vector for A x B. i j k
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