Question

Vector subtraction ( A-B) is a special case of vector addition,since A-B = A + (-B). Suppose that the cases of vectors addition 1, 2,3in this experiment were vector subtraction (F1-F2)
Vector subtractions

1 : in the second quadrant whereas previously it was in thefirst quadrant

2 : in the second quadrant whereas previously it was in thefirst quadrant

3 : in the first quadrant whereas previously it was in thefirst quadrant.


Would the magnitude of the resultant be different forvector subtraction than for vector addition in each case? if so ,state whether the subtractive resultant would be greater or lessthan the additive resultant.

Answer 1

Answer:

Check Explanation

Explanation:

The magnitude of the resultant for the vector subtraction will definitely be different from the magnitude of the resultant for the vector addition.

The attached image shows clearly that there will always be a difference between the two resultants. The magnitude of one will always be bigger than the other.

From the attached image,

- F₂ is a force vector in the direct opposite direction to F₂ (albeit, they have the same magnitude).

R₁ = F₁ + F₂

R₂ = F₁ - F₂

If the angle between the force vectors is an acute angle, the magnitude of the resultant for the vector subtraction will be greater than that of the resultant of vector addition.