Questions in vectors

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Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is
For the resultant of the two vectors to be maximum, what must be the angle between them
A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is
Two vectors $\overrightarrow A $and $\overrightarrow B $lie in a plane, another vector $\overrightarrow C $lies outside this plane, then the resultant of these three vectors i.e.,$\overrightarrow A + \overrightarrow B + \overrightarrow C $
If the resultant of the two forces has a magnitude smaller than the magnitude of larger force, the two forces must be
Forces ${F_1}$ and ${F_2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be
If $|\overrightarrow A - \overrightarrow B |\, = \,|\overrightarrow A |\, = \,|\overrightarrow B |,\,$the angle between $\overrightarrow A $and $\overrightarrow B $ is
Let the angle between two nonzero vectors $\overrightarrow A $ and $\overrightarrow B $ be 120° and resultant be $\overrightarrow C $
The magnitude of vector $\overrightarrow A ,\,\overrightarrow B $ and $\overrightarrow C $ are respectively 12, 5 and 13 units and $\overrightarrow A + \overrightarrow B = \overrightarrow C $ then the angle between $\overrightarrow A $ and $\overrightarrow B $ is
Magnitude of vector which comes on addition of two vectors, $6\hat i + 7\hat j$ and $3\hat i + 4\hat j$ is

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