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Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Another way to think, is that rectangle is a special case of parallelogram where all inner angles are $\frac{\pi}{2}$
Parallelogram is a special case of Trapezoid. And so on, until the most general case of polygon.

Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Another way to think, is that rectangle is a special case of parallelogram where all inner angles are $\frac{\pi}{2}$.
Parallelogram is a special case of Trapezoid. And so on, until the most general case of polygon.

Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Another way to think, is that rectangle is a special case of parallelogram where all inner angles are $\frac{\pi}{2}$

Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Another way to think, is that rectangle is a special case of parallelogram where all inner angles are $\frac{\pi}{2}$
Parallelogram is a special case of Trapezoid. And so on, until the most general case of polygon.

Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Of course vector can be decomposed into any set of two directions chosen arbitrary. That's the basis of vector algebra. Mutually perpendicular components exists only in Euclidean space which is sub-set of more general vector representation rule.

Another way to think, is that rectangle is a special case of parallelogram where all inner angles are $\frac{\pi}{2}$