Vector Arithmetic

Question 2 (5 Marks) Mr Ali, Ms Brown and a group of students were camping at the site located at $P$. Mr Ali walked with some of the students on a bearing of $035^{\circ}$ for $7 \mathrm{~km}$ to location A. Ms Brown, with the rest of the students, walked on a bearing of $100^{\circ}$ for $9 \mathrm{~km}$ to location $B$. a. Show that the angle $A P B$ is $65^{\circ}$. (1 mark) b. Find the distance $A B$. (2 marks) c. Find the bearing of Ms Brown's group from Mr Ali's group. Give your answer correct to the nearest degree. (2 marks)