Lab 1 part b - vectors

lab1b.py

GlowScript 2.7 VPython

baseball = sphere (pos=vector(0,0,0), radius=0.2, color=color.white)

A = arrow(pos=vector(3,-2,4), axis=vector(1,-4,2), shaftsize = 0.1, color=color.cyan)
B = arrow(pos=vector(-5,3,4), axis=vector(-7,1,2), shaftsize = 0.1, color=color.cyan)
C `= arrow(pos=vector(-1,-6,2), axis=vector(-3,-8,0), shaftsize = 0.1, color=color.cyan)

print("Magnitude of A = ", sqrt(A.pos.x**2 + A.pos.y**2 + A.pos.z**2))
print("A - 3B + 2C = ", A.pos - 3*B.pos + 2*C.pos)
print("C . B", C.pos.x * B.pos.x + C.pos.y * B.pos.y + C.pos.z * B.pos.z)

D = vector(
  A.pos.y*B.pos.z - A.pos.z*B.pos.y,
  A.pos.z*B.pos.x - A.pos.x*B.pos.z,
  A.pos.x*B.pos.y - A.pos.y*B.pos.x,
)

D_magnitude = sqrt(D.x**2 +D.y**2 +D.z**2)

print("A x B = ", D)

print("D =", D/D_magnitude)

arrow(pos=D, axis=D-vector(2,2,2))