Millionaire Mode

Vector Spaces

Question 1 of 14

Let (V) be a vector space over a field (F). Which of the following statements is true about the zero vector (\mathbf{0}) in (V)?

  1. The zero vector is unique.
  2. The zero vector is the only vector in \(V\).
  3. The zero vector is the additive inverse of itself.
  4. The zero vector is the multiplicative inverse of itself.

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000