If x → and y → be two non-zero vectors such that x → + y → = x → and 2 x → + λ y → is perpendicular to y → , then the value of λ is ...... .

Question

If x → and y → be two non-zero vectors such that x → + y → = x → and 2 x → + λ y → is perpendicular to y → , then the value of λ is ...... .,

MARKS App · Accepted Answer

x → + y → 2 = x → 2 ⇒ y → 2 + 2 x → . y → = 0 .....(1) and 2 x → + λ y → . y → = 0 s ⇒ λ y → 2 + 2 x → . y → = 0 .....(2) by (1) and (2) λ = 1