Question

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are found to be in a ratio 3:1 . Which of the following relations are true .
1 ) P= Q
2) P=2Q
3) P=4Q
4) P=Q /3

Answer 1

Answer:

P=2Q

Explanation:

maximum is only when they are added and minimum is only when they are subtracted

P+Q = 2Q + Q = 3

P+Q = 2Q - Q = 1

Answer 2

Answer:

P=2 Q is correct relation.

2 is correct option.

Explanation:

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

$P-Q=2Q-Q=Q$

The ratio of the maximum and minimum magnitude of two vectors is

$(P+Q):(P-Q)=3:1$

Hence, P=2Q is correct relation.