Question

A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude
of their sum might be........​

Answer 1

Answer:

If the vectors would point in the same direction you would get a length that is the sum of the lengths. If the vectors point in precisely opposite directions you would get a length that is the difference in lengths. If the vectors point in different directions you would get a length that is between these two cases.

So the length of the sum would have to be between 25-20 and 25+20, i.e. between 5 and 45.

Only answer c, 12, is between 5 and 45.

Explanation:

hope it's useful to.....

Answer 2

The magnitude of their sum might be between 5 to 45.

Explanation:

Given:

A vector of magnitude 20 is added to a vector of magnitude 25.

To  Find:

The magnitude of their sum.

Solution:

As given,A vector of magnitude 20 is added to a vector of magnitude 25.

A vector of magnitude $|A|$= 20

A vector of magnitude $|B|$ =  25

Since,   $0 \leq ||A|-|B|| \leq |A-B|\leq |A+B|\leq |A|+|B|$

The magnitude of vectors   are given and no directions are given,

       $|20-25|=5\leq 45=|20+25|$

Thus,the magnitude of their sum might be between 5 to 45.

    #SPJ2