The value of ' λ ' for which the two vectors a = 5 i ^ + λ j ^ + k ^ and b = i ^ − 2 j ^ + k ^ are perpendicular to each other is

Hints : For a ⊥ b a ⋅ b = 0 i.e., 5 − 2 λ + 1 = 0 λ = 3

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Physics - Vectors Question with Solution | TestHub

PhysicsVectorsMultiplication of vectorsEasy2 minPYQ_2010

PhysicsEasysingle choice

The value of ' $λ$ ' for which the two vectors $a = 5 \hat{i} + λ \hat{j} + \hat{k}$ and $b = \hat{i} - 2 \hat{j} + \hat{k}$ are perpendicular to each other is

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Solution:

Hints : For $a ⊥ b$ $a \cdot b = 0 i.e., 5 - 2 λ + 1 = 0 λ = 3$

Stream:WBJEESubject:PhysicsTopic:VectorsSubtopic:Multiplication of vectors

⏱ 2mℹ️ Source: PYQ_2010

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