While solving a problem that involved both the concepts, I stumbled upon the following fact, but I cannot somehow visualize the idea. Could anyone please give me some intuition as to why the above stated fact holds?
Interference of electric field is basically addition of vectors. Two vectors sum up to a zero vector if, and only if, they are anti-collinear and they are of the same magnitude.
The condition of (anti)collinearity is achieved only in special cases. One of these are linearly polarized waves of the same polarization. (They moreover have to propagate under a similar angle for the interference fringes to have a good contrast, otherwise the vectors are not collinear anymore.)
If the field vectors are not collinear, like in waves of different polarisation, they can never subtract to zero.