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Question

Mathematics Question on Addition of Vectors

Let S be the set of all (λ, μ) for which the vectors λiˆjˆ+kˆ,iˆ+2jˆ+µkˆand3iˆ4jˆ+5kˆ,whereλμ=5,arecoplanar,thenλ {i}ˆ-jˆ+kˆ, iˆ +2jˆ+µkˆ and 3iˆ -4jˆ +5kˆ, where λ-μ = 5, are coplanar, then (λ,μ)εs80(λ2,μ2)\sum_{(λ, μ) εs}80(λ^2, μ^2) is equal to

A

2130

B

2210

C

2290

D

2370

Answer

2290

Explanation

Solution

The correct option is(C): 2290