E and F are vector fields given by E=2xa_x +a_y +yza_z and F=xya_x -y^2 a_y +xyza_z. Determine (a)|E| at (1,2,3)

Cristofer Graves 2022-07-30 Answered
E and F are vector fields given by E = 2 x a x + a y + y z a z and F = x y a x y 2 a y + x y z a z .
Determine:
(a)|E| at (1,2,3)
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Answers (1)

sweetwisdomgw
Answered 2022-07-31 Author has 20 answers
a) E = 2 x a x + a y + y z a z
we assume that the vector a x , y , z are mutually perpendicular
in x,y,z directions respectively (i.e a x a y = 0 ; a x a z = 0)
E at (1,2,3) is, 2 a x = a y + 6 a z
Then | E | = E . E = ( 2 a x + a y + 6 a z ) . ( 2 a x + a y + 6 a z )
= 4 + 1 + 36 = 41
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