Multiply a 2-dimensional vector by a rotation matrix.
Author: shiroeExecutions: 80
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Enter two elements of A.
Enter θ in radians.
Let the elements of A be a1 and a2.
Let the elements of B be b1 and b2.
The elements of R are:
R11 = cosθ R12 = -sinθ
R21 = sinθ R22 = cosθ
(The numbers to the right of R indicate row and column numbers.)
Enter the value of θ in radians.
Enter θ as a real number in the range from 0 to 2π.
Calculate B and output the element values.
The rest is for reference only.
Enter θ in radians.
Let the elements of A be a1 and a2.
Let the elements of B be b1 and b2.
The elements of R are:
R11 = cosθ R12 = -sinθ
R21 = sinθ R22 = cosθ
(The numbers to the right of R indicate row and column numbers.)
Enter the value of θ in radians.
Enter θ as a real number in the range from 0 to 2π.
Calculate B and output the element values.
The rest is for reference only.
| b1 | |
| b2 | |
| Values used for θ | |
| Reference: Value of cosθ | |
| Reference: Value of sinθ | |
| Reference: Values of tanθ | |
| (θ/2π)*360 | (Rounded down to the nearest whole number) |
Digit display setting: 50 digits. Digit count can be changed. Complex number calculation mode.
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Let A and B be two-dimensional vectors.
R is a 2×2 square matrix and a rotation matrix.
We will calculate B = R * A.