Question

Using single-index notation, find the index numbers of the elements in each matrix that contain values greater than 10.

a) True
b) False

Answer 1

Adding five vectors does not always result in a vector with a greater magnitude compared to adding only two vectors.

Step-by-step explanation:

The question asks whether adding five vectors always results in a vector with a greater magnitude compared to adding only two vectors. This statement is false. In general, the magnitude of a vector resulting from the addition of multiple vectors depends on the direction and the magnitudes of those individual vectors. It is possible for the addition of two vectors to result in a greater magnitude than the addition of five vectors if the individual magnitudes and directions are not aligned or balanced.