Let we have two vectors X and Y , and if X .Y = 0, then:

Explanation

If either one of the vectors is the zero vector (a vector with all components equal to zero), then the dot product of the two vectors will be zero. This is because the zero vector has zero magnitude, and the dot product of any vector with the zero vector is always zero. The product of two vectors being zero, specifically the dot product being zero, is a characteristic of vectors being orthogonal or perpendicular. When two vectors X and Y are mutually perpendicular, it means that the angle between the two vectors is 90 degree. Dot product of two vectors is given by:X.Y= X.Y cosθIf θ is 90, then cosθ becomes zero, and as a result dot product becomes zero.