If →a,→b and →c are non-coplanar vectors and λ is a real number, then the vectors →a+2→b+3→c,λ→b+μ→c and (2λ−1)→c are coplanar when
A
μ∈R
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
λ=12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
λ=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
no value of λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct options are Aμ∈R Bλ=12 Cλ=0 For coplanar vectors, ∣∣
∣∣1220λμ002λ−1∣∣
∣∣=0 or (2λ−1)λ=0 or λ=0,12 Hence, μ can assume any real value. Hence, options A,B and C are correct.