This document contains 4 math problems involving vectors: 1) drawing vectors given vector a and b; 2) using the parallelogram law to find the resultant vector of vectors a and b; 3) determining vectors in a triangle given the midpoint and two other vectors; 4) determining vectors in parallelograms given two initial vectors. It provides diagrams and asks to determine various vectors in terms of the given vectors.

1. Appendix 2
1)
b
a
Given vector a and b as shown in the diagram, draw the vector
a)
b)
2)
a b
The
diagram shows and . Determine the resultant vector of and using the parallelogram
law.
a R
Q
3)
a
a S
P

2. In the diagram, PQR is a triangle and S is the midpoint of PR. Given that and
, determine each of the following vectors in the terms of and .
a)
b)
c)
T S R
4)
P
Q
In the diagram, PQST and PQRS are parallelograms. and . Determine, in
term of and .
a)
b)