Let →α=(λ−2)→a+→b and →β=(4λ−2)→a+3→b be two given vectors where vectors →a and →b are non-collinear. The value of λ for which vectors →α and →β are collinear, is:
A
−3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
−4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D−4 →α=(λ−2)→a+→b →β=(4λ−2)→a+3→b
As per question, →α and →β are collinear ∴∣∣∣(λ−2)1(4λ−2)3∣∣∣=0 ⇒3λ−6−4λ+2=0 ⇒λ=−4