Answer:
[tex]\mathbf{0+0x+0x^2+0x^3}[/tex]
Step-by-step explanation:
Zero vector are those vectors whose norm is zero and whose direction and direction are undefined. However, they are vector, which posses zero length and no particular direction.
It is the vector of coordinates (0,0). Or, it is defined as the vector of length or zero modulus. The definition of a zero vector is a useful mathematical convention for solving vector equations. It plays the role of the neutral element for the addition of vectors. In a sense, it is an anomaly because it has no direction or meaning, but it is handy from the point of view of vector algebra.
From the question given :
The additive identity of the zero vector in the vector space can be written as:
[tex]\mathbf{0+0x+0x^2+0x^3}[/tex]
The additive identity will be "0 + 0x + 0x² + 0x³".
The vectors with 0 norms as well as unknown direction and inclination are known as zero vectors. They are, nevertheless, vectors with zero-length as well as no systematic approach.
It should be the coordinate vector (0,0). This is also known as that of the vector of length or perhaps the vector with zero exponents. This same zero vector specification seems to be a helpful mathematical technique for solving vectors problems. It functions as the neutrality component for vector addition. Sometimes in ways, it's just an aberration since it has no orientation, although it is useful throughout vector algebra.
Throughout vector space, the additive identity of such zero vector is represented as:
→ 0 + 0x + 0x² + 0x³
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