Final answer:
To find the value of a such that vector u is parallel to vector v, we can use the fact that two vectors are parallel if one is a scalar multiple of the other. The value of a should be -1.5.
Step-by-step explanation:
To find the value of a such that vector u is parallel to vector v, we can use the fact that two vectors are parallel if one is a scalar multiple of the other. Let's assume that u = av, where a is a scalar. If u is parallel to v, then the direction of u is the same as the direction of v.
In other words, the ratio of corresponding components of u and v must be equal. This can be expressed as: ux/vx = uy/vy = uz/vz.
Substituting the given components of u' and v into the equation, we have: -0.750c/0.500c = -0.750/0.500 = -1.5.