Write a program to compute the rotation of a point p(x, y,z,1) around the origin in three-dimensional space. the rotation angle around the x-axis is θ_x, around the y-axis is θ_y, and around the z-axis is θ_z. these angles are input to the program. compute a single rotation matrix, r=zrot*(yrot*xrot), which has the effect of performing the rotation around the x-axis, then around the y-axis, and then around the z-axis. for each point, print its original location and its location after the composite rotation.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.