What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?
7, 0, 1 , 5

Solution:

The magnitudes of the vectors are given, there can be three possibilities:

(i) The vectors are in the same direction, their magnitudes are added.

If both these vectors are in x-direction, then 3î + 4î = 7î. Hence, the magnitude is 7

(ii) When the vectors are in the opposite directions, their magnitudes are added.

If the vector of magnitude 3 is in the x-direction and the other is in the negative direction, then 3î - 4î = -î. Hence, the magnitude is 1.

(iii) When the vectors are in the perpendicular direction, then the resultant is found by using the Pythagoras theorem. The magnitude of the resultant vector √(3² + 4²) = 5.

Therefore, the magnitude which is not possible when a vector of magnitude 3 is added to a vector of magnitude 4 is 0.

What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?

Summary:

The magnitude which is not possible when a vector of magnitude 3 is added to a vector of magnitude 4 is 0.