Final answer:
The values of vectors i, j, and k for vector a are 2, -3, and 1, respectively, and for vector b are -9, 3, and -4. These represent the vector components along the x, y, and z-directions, respectively.
Step-by-step explanation:
The question involves finding the values of the unit vectors i, j, and k in given vectors a and b. The vectors a = 2i - 3j + k and b = -9i + 3j - 4k already have their components presented in terms of the unit vectors i, j, and k.
The values of vectors i, j, and k for vector a are 2, -3, and 1, respectively. Similarly, the values for vector b are -9, 3, and -4.
These are standard unit vectors in the three-dimensional coordinate system used to represent vector components. Each unit vector represents a direction along one of the Cartesian coordinate system's axes, with i in the x-direction, j in the y-direction, and k in the z-direction.