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Understand The Weighted Average

True or False: The concept of a weighted average is not applicable to scalar multiplication of vectors.

True or False: In vector addition, the weights assigned to vectors determine the magnitude of the resulting vector.

True or False: The weighted average of two vectors with weights a and b is equivalent to the vector obtained by scaling each vector by its respective weight and then adding them.

True or False: The concept of a weighted average is not applicable to vector subtraction.

True or False: In vector addition, the weighted average of two vectors is always collinear with the original vectors.

True or False: The weighted average of two vectors with weights a and b is the same as the weighted average of the same vectors with weights b and a.

True or False: If the weights assigned to two vectors are equal, the resulting vector is parallel to both original vectors.

True or False: In vector addition, the weights assigned to vectors must always be positive values.

True or False: If the weights assigned to two vectors are both zero, the resulting vector is the zero vector.

True or False: In vector addition, if the weights assigned to the vectors are negative, the resulting vector will point in the opposite direction.