The sum of the magnitudes of two vectors P and Q is 18 and the magnitude of their resultant is 12. If the resultant is perpendicular to one of the vectors, then the magnitudes of the two vectors are

The resultant of two vectors vecP and vecQ is vecR . If the magnitude of vecQ is doubled, the new resultant becomes perpendicular to vecP , then the magnitude of vecR is

When the magnitude of the resultant of the two vectors is maximum?

The algebraic sum of two co - initial vectors is 16 units. Their vector sum is 8 units and the resultant of the vectors are perpendicular to the smaller vector. Then magnitudes of the two vectors are -

The algebraic sum of two co - initial vectors is 16 units. Their vector sum is 8 units and the resultant of the vectors are perpendicular to the smaller vector. Then magnitudes of the two vectors are -

The maximum value of the magnitude of the resultant of two vectors vec P and vec Q is 24 units and the minimum value of the magnitude of their resultant is 4 units. What is the ratio of the magnitudes of the vectors vec P and vec Q ?