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Find the image of (12,3√2)(12,32) under the rotation Rπ/6𝑅𝜋/6 through an anticlockwise angle of π6𝜋6 in R2

Question

Find the image of (12,3√2)(12,32) under the rotation Rπ/6𝑅𝜋/6 through an anticlockwise angle of π6𝜋6 in R2
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Solution 1

To find the image of a point under a rotation in R2, we can use the rotation matrix. The rotation matrix for a counterclockwise rotation of θ is given by:

[cos(θ) -sin(θ)]
[sin(θ)  cos(θ)]

Here, θ = π/6. So, the rotation matrix is:

[cos(π/6) -sin(π/6)]
[sin(π/6)  cos(π/6)]

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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