/bar (R)_(PO)=(5hat(i)+7hat(j)+9hat(k))m

\ and

/bar (R)_(SO)=(8hat(i)+9hat(j)+4hat(k))m

\ where

hat(i),hat(j)

and

hat(k)

are unit vectors in the positive

x,y

and

z

directions respectively. Determine the position vector

/bar (R)_(PS)

of particle

P

relative to particle

S

base on the same coordinate system. Show that the following loop-closure equation is true.\

/bar (R)_(SO)(+)/(b)ar (R)_(PS)(-)/(b)ar (R)_(PO)()/(b)=ar (0)

RPO=(5i^+7j^+9k)m and RsO=(8i^+9j^+4k^)m where i^,j^ and k^ are unit vectors in the positive x,y and z directions respectively. Determine the position vector RPS of particle P relative to particle S base on the same coordinate system. Show that the following loop-closure equation is true. Rso+RPSRPO=0