3) Let à = p(z² – 1)ū, – pzcos(4)ug + p² z²Uz and B = r? cos(4)u,+ 2rsin(0)ūg At T(-3,4,1), calculate (a) Ả and B (b) the vector component in cylindrical coordinates of à along B at T (c) the unit vector in spherical coordinates perpendicular to both à and B at T.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3) Let
Ä = p(z² – 1)ū, – pzcos(4)ūj + p² z?u;
and
B = r?cos(4)ū, + 2rsin(0)ū
C.
%3D
At T(-3,4,1), calculate
(a) Á and B
(b) the vector component in cylindrical coordinates of A along B at T
(c) the unit vector in spherical coordinates perpendicular to both à and B at
Transcribed Image Text:3) Let Ä = p(z² – 1)ū, – pzcos(4)ūj + p² z?u; and B = r?cos(4)ū, + 2rsin(0)ū C. %3D At T(-3,4,1), calculate (a) Á and B (b) the vector component in cylindrical coordinates of A along B at T (c) the unit vector in spherical coordinates perpendicular to both à and B at
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