Homework 1Bis
(I) [25 pts.] With cfw_52,3, 2 the basis of a cartesian coordinate system, A 2 3i + 43] 42. Find the unit
vectors in the (55,31) plane that are perpendicular to X.
Let A: @me u, VcclreM we, cw. eookmjjdb. Spin. 3: 1401M u, (1,3) PM, A: Maw A
Homework 1
(I) GivenAz2i3g+72 and=5i+g+22 Withi,g),2and orthogonalbasis (i-izQ-gz-izl
A
Whilec-yzi-zgj-zm.
(a) [5 pts.] Find A + E.
If my? a. mam rwlwm? E) u E? 5 Mm WWW:
TLE = usgng +32? +3 .43: 7-25+33 3+5 =73-15+33
(b) [6 17233.] Find X E.
Sam ung/um,-
Homework 2
(I) [20 pts] Consider the Earth as a perfect sphere of radius R. A point on the surface of the Earth is
specied by its longitude l1 and latitude hl. Another point is specied by l2 and [12. Find the expression
of the distance between the two poi