rand_vector_at_angle

Get a random unit vector which is at angle radians of vector u.

v = rand_vector_at_angle(u, angle)

Arguments

• u - A unit vector.
• angle - An angle in radians.

Return values

• v - A random unit vector which is at angle radians with vector u

Note

This function is stochastic. For reproducibility set the PRNG seed with cluseed() as discussed in the Reference.

Examples

u = [1.0; 0; 0.5; -0.5];             % Define a 4D vector
u = u / norm(u);                     % Normalize the vector
v = rand_vector_at_angle(u, pi / 4); % Get a vector at 45 degrees
arad = acos(dot(u, v) / (norm(u) * norm(v))); % Get angle in radians
rad2deg(arad) % Convert to degrees, should be close to 45 degrees
% ans = 45.000