Question

Vector of magnitude 15 is added to a vector of magnitude 25. The magnitude of this sum

might be:

A. Zero
B.5
C.9
0 15
E.4
and how ? ​

Answer 1

Step-by-step explanation:

Given that,

Magnitude of vector A, |A| = 15

Magnitude of vector B, |B| = 25

We need to find the magnitude of this sum.

The maximum sum of the resultant vector,

`R_(max)=|A_1|+|A_2|\\\\=15+25\\\\=45`

The minimum sum of the resultant vector,

`R_(min)=|A_1|-|A_2|\\\\=15-25\\\\=-10`

So, the magnitude of this sum either 45 or -10.