Question

Rotate tuv 90 degrees clockwise around the origin

Answer 1

As drawn on image.

Explanation:

See the attached image.

Answer 2

Explanation:

To rotate the point "tuv" 90 degrees clockwise around the origin (0,0), you can use a rotation matrix. The 2D rotation matrix for a 90-degree clockwise rotation is:

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[ cos(θ) -sin(θ) ]

[ sin(θ) cos(θ) ]

For a 90-degree rotation, θ is π/2 radians or 90 degrees. Let's apply this rotation to the point "tuv," assuming "tuv" represents a vector:

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tuv = [x, y]

Now, apply the rotation:

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[x', y'] = [x, y] * [ cos(π/2) -sin(π/2) ]

[ sin(π/2) cos(π/2) ]

Using the values for cos(π/2) and sin(π/2):

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[x', y'] = [x, y] * [ 0 -1 ]

[ 1 0 ]

Now, perform the matrix multiplication:

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x' = (x * 0) + (y * -1) = -y

y' = (x * 1) + (y * 0) = x

So, after a 90-degree clockwise rotation around the origin, "tuv" becomes "(-v, t)."