The vectors sums of two vectors of magnitude 10 and 15 unitscan never be
more than (10 + 15), or less than (15 - 10)
The vector sum of two vectors refers to their combined result when you add them together. In vector addition, the magnitude of the resulting vector can be found using the Pythagorean theorem.
If we have two vectors with magnitudes of 10 and 15 units, respectively, let's call them vector A and vector B.
To find the magnitude of the vector sum, we use the following formula:
Magnitude of vector sum = √(magnitude of A)^2 + (magnitude of B)^2
So, in this case, the magnitude of the vector sum would be:
Magnitude of vector sum = √(10^2 + 15^2)
= √(100 + 225)
= √325
≈ 18.03 units (rounded to two decimal places)
Therefore, the vector sum of two vectors with magnitudes 10 and 15 units can be approximately 18.03 units.