6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w. Evaluate u.w and interpret the result. If u and v are both perpendicular to r, find a unit vector in the direction of r (without using the vector product). Eind the angle between uu and

6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w. Evaluate u.w and interpret the result. If u and v are both perpendicular to r, find a unit vector in the direction of r (without using the vector product). Eind the angle between uu and

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 52PQ: A Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors...

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Question

u = 4i – ĵ + 3k
v = 2î + j+k
-i+sj+3k
r= ai + Bj+ yk
6.
w =
Evaluate the scalar products u.v and v.w. Evaluate u.w and interpret the result.
If u and v are both perpendicular to r, find a unit vector in the direction of r (without
using the vector product).
Find the angle between u and v.

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