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I have one question. What is Exact definition of the Vector Field Form Of an Eletric Field?? for exmple.. Vector Field v^ (x,y,z)=yze_1 ^ +xze_2 ^ +xye_3 ^ i mean in physics They do all sorts of calculations using the Electrical Field but i can′t understand it cus it′s such a Abstract concept ex...▽^ ×E^ =−(∂B^ /∂t) or 𝚽=∮_A D∙dA=Q_0 ...etc help me

$I have one question .$ $What is Exact definition of the Vector Field Form Of an Eletric Field ? ?$ $for exmple . .$ $Vector Field$ $\hat{v} (x, y, z) = y z {\hat{e}}_{1} + x z {\hat{e}}_{2} + x y {\hat{e}}_{3}$ $i mean in physics They do all sorts of calculations$ $using the Electrical Field$ $but i {can}^{'} t understand it$ $cus {it}^{'} s such a Abstract concept$ $ex . . . \hat{▽} \times \hat{E} = - \frac{\partial \hat{B}}{\partial t} or Φ = \oint_{A} D \cdot d A = Q_{0} . . . etc$ $help me$

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find the total charge enclosed inside a volume of 1.5×10^(−9) located at the origin if D=e^(−x) sin(y)a_x ^ −(e^(−x) cos(y))a_y ^ +2za^ z C/m^2

$f i n d t h e t o t a l c h a r g e e n c l o s e d i n s i d e a$ $v o l u m e o f 1.5 \times 10^{- 9} l o c a t e d a t t h e o r i g i n$ $i f D = e^{- x} s i n (y) {\hat{a}}_{x} - (e^{- x} c o s (y)) {\hat{a}}_{y} + 2 z \hat{a z} C / m^{2}$

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a line charges of charge density pl=4x^3 −x+3mc/m laying along the x−axis. determine the total charge if the line charge extends from x=2 and x=6 m

$a l i n e c h a r g e s o f c h a r g e d e n s i t y$ $p l = 4 x^{3} - x + 3 m c / m l a y i n g a l o n g t h e x - a x i s .$ $d e t e r m i n e t h e t o t a l c h a r g e i f t h e l i n e c h a r g e$ $e x t e n d s f r o m x = 2 a n d x = 6 m$

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What is the general expression of the divergence(divV^⇢ )

$W h a t i s t h e g e n e r a l e x p r e s s i o n o f t h e d i v e r g e n c e (d i v \overset{⇢}{V})$

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tanθ = ((Σ F_y )/(Σ F_x ))

$\tan θ = \frac{Σ F_{y}}{Σ F_{x}}$

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