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Properties Of Vector Scalar Multiplication

True or False: Scalar multiplication is associative.

True or False: Scalar multiplication is distributive over vector subtraction.

True or False: Scalar multiplication distributes over vector addition.

True or False: Scalar multiplication is defined for vectors with different dimensions.

True or False: If c⋅V=0, then either c=0 or V=0.

True or False: If c⋅V=V, then c=1.

True or False: Scalar multiplication does not affect the direction of a vector, only its magnitude.

True or False: Scalar multiplication depends on the choice of coordinate system.

True or False: The zero vector multiplied by any scalar is the zero vector.

True or False: Multiplying a vector by the scalar 1 leaves the vector unchanged.