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struct vector {
flt dx, dy, dz;
};
flt dotproduct(struct vector * a, struct vector * b);
void between(struct point * p, struct point * q,
/*out*/ struct vector * v);
void opposite(struct vector * v,
/*out*/ struct vector * w);
void point_along(struct point * p, struct vector * v,
flt ac,
/*out*/ struct point * q);
void product(struct vector * a, struct vector * b,
/*out*/ struct vector * v);
flt vlength2(struct vector * a);
flt vlength(struct vector * a);
void vscale(struct vector * a, flt s,
/*out*/ struct vector * v);
void vnormalize(struct vector * a, /*out*/ struct vector * v);
void vsub(struct vector * a, struct vector * b,
/*out*/ struct vector * v);
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