EE 3213 Electromagnetics ECE Summer Online Class The University of Texas at San Antonio hOMEWORK 1

EE 3213

HW1

1) Given vectors A=[ 1 2 -3] and B=[0 -4 1] and C=[5 0 -2],calculate the following:

a) Unit vector in the direction of A.

b) lA-Bl

c) A . B d) θAB

e) The component of A in the direction of C.

f) A B

g) θAB

2) The position of a point in cylindrical coordinates is specified by (4,2π/3,3), what is the location

of this point in

a) Cartesian coordinates

b) Spherical coordinates

3) Given a vector function F=[ xy 3x-y 2 ], evaluate the integral ∫ ⃗ ⃗⃗⃗⃗ , from P1(5,2) to P2(0, 10).

a) Along direct path from P1 to P2.

b) Along path P1BP2 where B(0, 3)..