Problem 2.34
Vector field E is given by
E
5R cos
R
12
sin cos 3 sin
R
Determine the component of E tangential to the spherical surface R
P 2 30 60 .
2 at point
Solution: At P, E is given by
E
12
Problem 2.33
A given line is described by the equation:
x 1
y
Vector A starts at point P1 0 2 and ends at point P2 on the line such that A is
orthogonal to the line. Find an expression for A.
Solution
Problem 2.32 Finde a vector G whose magnitude is 4 and whose direction is
perpendicular to both vectors E and F, where E x y 2 z 2 and F y 3 z 6.
Solution: The cross product of two vectors produces a
Problem 2.17 When sketching or demonstrating the spatial variation of a vector
ﬁeld, we often use arrows, as in Fig. 2—25 (P117), wherein the length of the arrow
is made to be proportional to the stre
Problem 2.9 Find an expression for the unit vector directed toward the origin from
an arbitrary point on the line described by x 1 and z 2.
Solution:
An
arbitrary
point
on
the
given
line
is
1 y 2 . Th