Question

The ratio of maximum and minimum magnitude of the resultant of two vectors a ​

Answer 1

Answer:

3:1

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are found to be in a ratio 3:1 .

Answer 2

Answer:

3 : 1

Explanation:

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are found to be in a ratio 3:1 .

Given that,

Two vectors of magnitudes P and Q are found to be in a ratio 3:1.

The magnitude of two vectors will be maximum when they are added together and minimum they are subtract.

We have,

P = 2Q

The maximum magnitude is

P + Q = 2Q + Q = 3Q

The minimum magnitude is

P - Q = 2Q - Q = 1 Q

Hence, their ratio = 3Q / 1Q = 3 : 1