Specialist Maths Geometry Proofs Week 1

Vector Proofs

Example 1(EX5A1) A B a b E D C

Solution 1 A B a b E D C

Example 2 (Ex 5A1) C E D B A

Solution 2 C b a E D B A

Example 3 (Ex 5A1) C D E A a B b O

Solution 3 C D E A a B b O

Example 4 (Ex 5A2) B C A O

Solution 4 B b C a A O

Example 5 (Ex 5A3) A AC and DB produced meet at M. Find the position vector of M in terms of a and b. a O C b B D

Solution 5 A M a O C b B D

Example 6 (Ex5A3) (extension) C N O a A M b B

Solution 6 C N O a A M b B

This Week Text pages 176 to 183. Exercise 5A1 Q1 – 8.