Two vectors \(\overrightarrow{A}\) and \(\overrightarrow{B}\) are perpendicular to each other and each having magnitude a. Which of the following is definitely true?
(a) Their dot product is always zero.
(b) Their cross-product is always zero.
(c) The magnitude of the resultant is zero only if both vectors are of zero magnitudes.
(d) The magnitude of the vector is √2 a.
1
(a), (c), (d)
2
(a), (b)
3
(a), (d)
4
(b), (d), (c)