The sum of two vectors is the largest when the two vectors are the sum of two vectors is the largest when the two vectors are pointing in the same direction pointing in opposite directions perpendicular to each other positioned at a 45° angle

The sum of two vectors is the largest when the vectors are pointing in the same direction. The Resultant of two vectors depends on the cosine of the angle between them, and the maximum value of cosine is 1 which means the angle between the vectors should be zero . So, the sum of the vectors will be largest when both the vectors are in the same direction.

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.