Vector AB is multiplied by scalar k to form vector AC. Adjust k by using the slider and move point B to change the magnitude and direction of vector AB. Answer the following. [br]1. What must happen for AC to be smaller in magnitude than AB? Larger?[br]2. How does changing the direction of AB change AC?[br]3. What happens to AC over the following intervals of k? Think in terms of magnitude and direction...[br]a. k < -1[br]b. k = -1[br]c. -1 < k <0[br]d. k = 0[br]4. How do the slopes of the two lines relate?[br]5. How do their magnitudes relate to k?[br]e. 0 < k <1[br]f. k = 1[br]g. k > 1