Physics 253 Spring 2007
Assignment #1
Due: 5pm, May 16
From Sadiku (4th Edition)
Problem 1. 1.6
Let A = α ax + 3ay – 2az and B = 4ax + βay + 8az
a) Find α and β if A and B are parallel
b) Determine the relation between α and β if B is perpendicular to A
2.
1.18 Two points P(2,4,-1) and Q(12,16,9) form a straight line. Calculate
the time it takes for a sonar signal traveling at 300 m/sec to get from the origin to the
midpoint of PQ.
3.
1.22 A vector field is given by
H = (14 / [x2 + y2 + z2] )(yax – xay +xaz)
At point (1,2,-3) a) find a unit vector along H. b) determine the angle between H and az
4.
π/6, 7π/4)
2.14c Calculate the distance between the points (10, π/4, 3π/4) and (5,
5.
2.26
a) r•ax + r•ay = 5
b) │r x ay│ = 10
If r = xax + yay + zaz describe the surface defined by
6.
3.22 Evaluate both sides of the divergence theorem for the vector field
H = 2xyax + (x2 + z2) ay + 2yzaz
For the region defined by 0<x<1, 1<y<2, -1<z<3