Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels.
A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters `P_(1) (6,8,4) , P_(2) (21,8,4), P_(3) (21,16,10)` and `P_(4)(6,16,10)`

Write the vector in standard notation with `hati,hatj` and `hatk` (where `hati, hatj` and `hatk` are the unit vectors along the three axes).

Options

A. `15hat(i)+0hat(j)+0hat(k),0hat(i)+8hat(j)+6hat(k)`
B. `0hat(i)+6hat(j)+5hat(k),15hat(i)+0hat(j)+0hat(k)`
C. `0hat(i)+0hat(j)+0hat(k),0hat(i)+8hat(j)+6hat(k)`
D. `15hat(i)+0hat(j)+0hat(k),6hat(i)+8hat(i)+0hat(k)`

Answer

A