If x → and y → be two non-zero vectors such that x → + y → = x → and 2 x…

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

Solution

x→+y→2=x→2

⇒  y→2+2x→.y→=0 .....(1)

and 2x→+λy→.y→=0s

⇒  λy→2+2x→.y→=0  .....(2)

by (1) and (2) λ=1

Asked in: JEE Main 2020 (06 Sep Shift 2)

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