Question

A vector of magnitude 2 cannot be added to a vector of magnitude 3 so that the magnitude of the resultant is

Answer 1

Answer:less than 1 and more than 5

Explanation:

Vectors are directed physical quantity which also have a magnitude.

When two vectors add,

there are two extreme cases.

Case 1:When both the vectors are in same direction.

In this case,the magnitude is maximum.

The magnitude is given by the sum of individual magnitudes which is $2+3=5$.

The maximum possible magnitude is $5$.

Case 2:When both the vectors are in opposite direction.

In this case,the magnitude is minimum.

The magnitude is given by the absolute difference of individual magnitudes which is $3-2=1$.

The minimum possible magnitude is $1$.