Question

2. The zero vector in the vector space R4 is:
(a) (0,0) (b)(0,0,0) (c)(0,0,0,0)
(d) none of these
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Answer 1

Answer:

b is your correct answer

Answer 2

Concept:

We need to first recall the concept of Vector space to answer this question.

• A non empty set V is  said to be vector space over F , if and only if

      (1) (V,+) is an abelian group.

      (2) V is closed under scalar multiplication.

• A  zero vector or null vector is a vector  whose length is zero and whose components are all zero.

To find:

Zero vector in the vector space R4.

Solution:

The vector R4 is a vector whose basis is always consists of 4 vectors.

Hence, the zero vector in vector space R4 is (0,0,0,0).