Two forces P and Q act at a point and have resultant R. If Q is replaced by `((R^(2)-P^(2)))/(Q)` acting in the direction opposite to that of Q the resultant :

Two vector vec P and vec Q act at a point and have a resultant R_1. If vec Q is replaced by the vevtor ( vec (R_1^2-P^2)/Q show tht the reaultant is still of magnitude vec R_1 .

Two forces P and Q acting at a point are such that if P is reveserd, the direction of the resultant is turned through 90^(@) . Prove that the magnitudes of the forces are equal.

Two forces P and Q acting at a point are such that if P is reveserd, the direction of the resultant is turned through 90^(@) . Prove that the magnitudes of the forces are equal.

At what angle do the two forces (P+Q) and (P-Q) act so that the resultant is sqrt(3P^(2)+Q^(2)) ?

At what angle do two forces (P+Q) and (P-Q) act so that the resultant is sqrt(3P^2+Q^2)