Question

When will VectorP + VectorQ = VectorO​

Answer 1

Answer:

vector graphics and the same

Answer 2

Answer:

Given, P+Q= P-Q

=> P-P+Q+Q= O where O is zero vector.

=> 2 Q= O => Q= O

Thus Q should be zero vector only then it is possible.

If you are thinking to solve as,

| P+Q |^2= |P-Q|^ 2

P^2+Q^2+2PQcosø= P^2+Q^2–2PQcosø where ø is angle b/w P and Q.

Then, saying that since 4PQcosø=0 so ø is 90° then let me tell you that it is wrong it is true if and only if it is given that only magnitude of P+Q = P-Q then both the answers I.e. Q=O and /or ø=90° should be the answer.

But it is given that both the vectors are equal so it means both their magnitude and direction should be equal. So if you argue upon taking ø =90° then directions of resultant of vectors P+Q and P-Q will not be equal hence both will never be equal.

Be careful…

Thank You