Family of Planes Passing through the Intersection of Two Planes
Point α,β,γ...
Question
Point (α,β,γ) lies on the plane x+y+z=2. Let →a=α^i+β^j+γ^k and ^k×(^k×→a)=0 then γ=
A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C2 ^k×(^k×→a)=(^k.→a)^k−(^k.^k)→a =γ^k−(α^i+β^j+γ^k)=0 ⇒α^i+β^j=0 ∴α=β=0 (α,β,γ) lies on the plane x+y+z=2(given) ∴α+β+γ=2⇒γ=2 where α=β=0