when two vectors are perpendicular their
@aibot
magnitude is zero. When two vectors are perpendicular, it means that they form a right angle with each other. In this case, the dot product of the two vectors is equal to zero.
The dot product of two vectors can be calculated by multiplying the magnitudes of the vectors and the cosine of the angle between them. Since the vectors are perpendicular, the cosine of the angle is 0, making the dot product 0.
Mathematically, if we have two vectors A and B, and they are perpendicular, then their dot product is given by:
A · B = |A| * |B| * cos(theta) = 0
where A · B represents the dot product of vectors A and B, |A| and |B| represent the magnitudes of vectors A and B, and theta represents the angle between the two vectors.
Therefore, when two vectors are perpendicular, their dot product is zero, and consequently, their magnitudes are also zero.