Question

Two vectors have magnitudes of 22 m and 32 m. Which of the following CANNOT possibly be the magnitude or the resultant of the 2 vectors

a) 54 m.
B) 10 m.
C) 45 m
D) 60 m
e) 50 m

Answer 1

The magnitude that cannot possibly be the resultant of two vectors with magnitudes of 22 m and 32 m is 60 m, as it exceeds the sum of the two magnitudes, violating the triangle inequality theorem in vector addition.

Step-by-step explanation:

The question involves understanding the resultant magnitude of two vectors when added together. The magnitudes of the two given vectors are 22 m and 32 m, respectively. According to the triangle inequality theorem in vector addition, the resultant vector's magnitude must be greater than or equal to the absolute value of the difference of the magnitudes and less than or equal to the sum of the magnitudes of the two vectors. Therefore, the smallest possible magnitude of the resultant is 10 m (|32 m - 22 m|), and the largest is 54 m (32 m + 22 m).

Out of the given options for the magnitude of the resultant vector: 54 m, 10 m, 45 m, 60 m, and 50 m, the magnitude that CANNOT possibly be the resultant is 60 m, as it exceeds the maximum possible resultant magnitude which is the sum of the two individual magnitudes.