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

For perpendicular vectors. A ⋅ B = 0 ∴ ( 2 i ^ + 3 j ^ + 8 k ^ ) ⋅ ( 4 i ^ − 4 j ^ + α k ^ ) = 0 8 − 12 + 8 α = 0 − 4 + 8 α = 0 α = 2 1 .

Start Free Mock LoginAlready registered? Login here

Physics - Vectors Question with Solution | TestHub

PhysicsVectorsMultiplication of vectorsEasy2 minPYQ_2013

PhysicsEasysingle choice

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

Options:

Answer:

Solution:

For perpendicular vectors. $A \cdot B = 0$ $∴ (2 \hat{i} + 3 \hat{j} + 8 \hat{k}) \cdot (4 \hat{i} - 4 \hat{j} + α \hat{k}) = 0$ $8 - 12 + 8 α = 0$ $- 4 + 8 α = 0$ $α = \frac{1}{2}$ .

Stream:AIIMSSubject:PhysicsTopic:VectorsSubtopic:Multiplication of vectors

⏱ 2mℹ️ Source: PYQ_2013

Doubts & Discussion

Loading discussions...