Vectors ReasoningsShow that two vectors of different magnitudes cannot be combined to give zero resultant, whereas three vectors can be.

Vectors ReasoningsThe magnitude of a vector has doubled, its direction remaining the same. Can you conclude that the magnitude of each component of the vector has doubled?

Vectors ReasoningsIf the scalar product of two vectors is equal to the magnitude of their vector product, find the angle between them.

Vectors ReasoningsIf a vector B is added to A, under what condition does the resultant vector have a magnitude equal to A+B?

Vectors ReasoningsCan the resultant magnitude of two vectors be smaller than the magnitude of either vector?