ME 212 HOMEWORK
J. Slater: Assignment 1
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
Solve the following for as many variables as possible.
1)
2)
3)
4)
5)
6)
Find the unit direction vectors between the points defined by the vectors
F
1
and
F
2
(From point 1
to point 2).
1)
2)
3)
4)
1i
ˆ2j
ˆ
+()3j
ˆ2k
ˆ
+()+=
3 2.5i
ˆ4j
ˆ
+()=
1i
ˆ3j
ˆ
+()2j
ˆ3k
ˆ
+()ÿ=
2j
ˆ3k
ˆ
+()1i
ˆ3j
ˆ
+()ÿ=
8i
ˆ
–10k
ˆ
+()4i
ˆ5j
ˆ
–()µ=
3i
ˆ2j
ˆ8k
ˆ
++()2i
ˆ8j
ˆ3k
ˆ
++()µ=
2i
ˆ8j
ˆ3k
ˆ
++()3i
ˆ2j
ˆ8k
ˆ
++()µ=
530i
ˆ
sin 30j
ˆ
cos+()=
ai
ˆ10j
ˆ
+()3j
ˆbk
ˆ
+()µ=
8i
ˆbj
ˆ
+()3i
ˆ4k
ˆ
+()ÿ=
a45i
ˆ
sin 45j
ˆ
cos+()b135i
ˆ
sin 135j
ˆ
cos+()+=
ai
ˆbj
ˆ
+()3i
ˆaj
ˆ
+=
ai
ˆbj
ˆ
+3i
ˆ9k
ˆ
+=
3ai
ˆbj
ˆcj
ˆ
++()41i
ˆ3j
ˆ
+()=
ai
ˆbj
ˆ
+()ci
ˆ1k
ˆ
+()µ1i
ˆ2j
ˆ3k
ˆ
++=
2i
ˆbj
ˆ
+()ci
ˆ1k
ˆ
+()ÿ2=
ai
ˆ1i
ˆ2j
ˆ
+()2j
ˆ3k
ˆ
+()µ[]ÿ2j
ˆ3k
ˆ
+()1i
ˆ1i
ˆ2j
ˆ
+()µ[]ÿ=
F10i
ˆ0j
ˆ
+= F2
,1i
ˆ2j
ˆ
+=
F11i
ˆ2j
ˆ
+= F2
,0i
ˆ0j
ˆ
+=
F16i
ˆ14j
ˆ
+= F2
,1i
ˆ2j
ˆ
+=
F11i
ˆ2j
ˆ3k
ˆ
++=F2
,9i
ˆ3j
ˆ2k
ˆ
++=