True or False: The dot product of a vector with itself is always negative.

True or False: If the dot product of two vectors is zero, it implies that the vectors are orthogonal (perpendicular).

True or False: The dot product of two parallel vectors is always zero.

True or False: If the dot product of two vectors is negative, the vectors are necessarily pointing in opposite directions.

True or False: The dot product of two vectors is always a scalar quantity.

True or False: The dot product of a vector with the zero vector is always zero.

True or False: The dot product of two non-zero vectors is always non-negative.

True or False: If the dot product of two vectors is positive, the angle between them is acute.

True or False: Distributive property holds for dot multiplication, i.e., A⋅(B+C)=A⋅B+A⋅C.

True or False: The dot product of a vector and its orthogonal complement is always zero.