The scalar product of the vector
with the unit vector along the sum of vectors
and
is equal to one. Find the value of λ.
Let ![]()
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The unit vector along the sum of vector ![]()

Given: ![]()

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⇒ λ2 + 4λ + 44 = λ2 + 12λ + 36
⇒ 4λ - 12λ = 36 - 44
⇒ -8λ = -8
∴ λ = 1
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