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Mathematics Question on Vectors

Let Δ,∇∈Λ,V\Delta, \nabla \in\\{\Lambda, V\\} be such that (p→q)Δ(p∇q)( p \rightarrow q ) \Delta( p \nabla q ) is a tautology. Then

A

Δ=Λ,∇=Λ\Delta=\Lambda, \nabla=\Lambda

B

Δ=V,∇=V\Delta=V, \nabla=V

C

Δ=V,∇=∧\Delta=V, \nabla=\wedge

D

Δ=Λ,∇=V\Delta=\Lambda, \nabla=V

Answer

Δ=V,∇=V\Delta=V, \nabla=V

Explanation

Solution

The correct answer is (B) : Δ=V,∇=V\Delta=V, \nabla=V
Given (p→q)Δ(p∇q)
Option I Δ=∧,∇=∨

Hence, it is tautology.
Option 4Δ=∧,∇=∧