Q1. Suppose deg is an angle in degrees. Write down the NumPy code that computes the counterclockwise rotation matrix. Don't forget to convert the angles into radians when necessary.
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Q1. Suppose deg is an angle in degrees. Write down the NumPy code that computes the counterclockwise rotation matrix. Don't forget to convert the angles into radians when necessary.
def rotate(deg):
Q2. Let x be a
y = ...
Q3. Let x be a vector. How do you find a vector v in the same direction as x but with |v| = 1.
v = ...
Q4. A hyperplane in 2D is the same as a line. A hyperplane is defined by a normal vector w and a bias scalar b. Write down the expression that defines points on the line that is the hyperplane in 2D defined by (w, b).
{ x : ... }
Q5. Given a vector x, and a hyperplane P defined by (w, b). Describe how to compute the point v that is the projection of x on to the plane P.
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