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Question : 11 of 60
Marks:
+1,
-0
Solution:
Given vectors,
=+λ+2 → (1)
=µ+− → (2)
For vectors to be orthogonal, we have
⋅=0 ⇒µ+λ−2=0 ⇒λ+µ=2 → (3)
and
||=|| ⇒√1+λ2+4=√µ2+1+1 ⇒1+λ2+4=µ2+1+1 → (4)
From Eqs. (3) and (4), we get
λ2+3=µ2=(2‌‌λ)2 ⇒λ2+3=4+λ2−4λ So,
λ=‌⇒µ=2−‌=‌ Hence
(λ,µ)=(,)
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