Final answer:
The translation vector that moves every point of a primitive 4 units left and 6 units up is <-4, 6> or -4î + 6ˇ in unit vector notation, with the negative sign indicating leftward motion and the positive value indicating upward motion.
Step-by-step explanation:
The translation vector that moves every point of a primitive 4 units left and 6 units up would be represented as <-4, 6> in vector notation. In this case, the negative sign indicates a movement to the left along the x-axis, while the positive value indicates an upward movement along the y-axis. Using unit vector notation, the translation vector can also be written as -4î + 6ˇ, where î is the unit vector in the direction of the x-axis and ˇ is the unit vector in the direction of the y-axis. The vector's direction and magnitude reflect the displacement, with each unit representing a step in the respective axis direction.