If a vector 2 i ^ + 3 j ^ + 8 k ^ is perpendicular to the vector 4 j ^ − 4 i ^ + α k ^ then the value of α is:NEET 2005

a = 2 i ^ + 3 i ^ + 8 k ^ , b = 4 j ^ + 3 i ^ + α k ^ a ⋅ b = 0 , if a − 1 ⋅ b − 1 ∴ ( 2 i ^ + 3 j ^ + 8 k ^ ) ⋅ ( − 4 i + 4 j + α k ) = 2 1 ⇒ α = − 2 1

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Physics - Vectors Question with Solution | TestHub

PhysicsVectorsMultiplication of vectorsEasy2 minPYQ_2005

PhysicsEasysingle choice

If a vector $2 \hat{i} + 3 \hat{j} + 8 \hat{k}$ is perpendicular to the vector $4 \hat{j} - 4 \hat{i} + α \hat{k}$ then the value of $α$ is:NEET 2005

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$a = 2 \hat{i} + 3 \hat{i} + 8 \hat{k}, b = 4 \hat{j} + 3 \hat{i} + α \hat{k}$ $a \cdot b = 0, if a^{- 1} \cdot b^{- 1} ∴ (2 \hat{i} + 3 \hat{j} + 8 \hat{k}) \cdot (- 4 i + 4 j + α k) = \frac{1}{2} \Rightarrow α = - \frac{1}{2}$

Stream:NEETSubject:PhysicsTopic:VectorsSubtopic:Multiplication of vectors

⏱ 2mℹ️ Source: PYQ_2005

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