Homework – Lesson 1
1) Calculate e draw the vector w for the following cases
w = v
1
+ v
2
+
v
3
= 0i + 2j + 9k
w = v
1
+ v
2
-
v
3
w = v
1
- v
2
+
v
3
w = v
1
- v
2
–
v
3
with
v
1
= - 2i +2j + 3k
v
2
= 1i - 2j + 3k
v
3
= 1i +2j + 3k
2) Determine the x, y components of the following vectors
v = 2 v = 2 v = 5.5 v = 1 v = 2
0.5
v = 1.7i + 1j v = -1.7i + 1j
3) Determine and draw the unknown vectors in the following problems
Problem 1
v
1
+ v
2
+ v
3
= 0
v
1
is given, the directions of v
2
and v
3
are known
v
1
= 2i+1j
Problem 2
v
1
+ v
2
+ v
3
= 0
v
1
is given, the directions of v
2
and v
3
are known
v
1
= - 2i +2j
30
o
v
x
y
30
o
v
60
o
v
v
45
o
v
90
o
45
o
Line of application of v
2
Line of application of v
3
90
o
30
o
Line of application of v
2
Line of application of v
3
v
1
v
1
v
2
v
3
Solution:
v
2
= 1j ; v
3
= -2i -2j
