Distance Between a Point and a Line Problem: Figure 10-9b shows a line and a point P1 not on the line. Vector is parallel to the line, and d is the perpendicular distance between P1 and the line. Figure 10-9b Now suppose that the equation of the line is and the outside point is P1(4, 7, 6). a. By trigonometry, . Multiply the right-hand side of this equation by 1 in the form . Take advantage of the fact that the numerator on the right now equals to find d without first finding . 25-ft ladder leaning against a wall to reach a high window. To miss the flower bed, the ladder is moved over so that its left foot is at (7, 9, 0). The top of the ladder is 24 ft up the wall. Find a vector equation of the line along the left side of the ladder. Given that the rungs on the ladder are 1 ft apart, use the equation to find the rung that is closest to the upper left corner of the window, at the point (0, 5, 18). Find the perpendicular distance from the left side of the ladder to (0, 5, 18), taking advantage of the results of part a, Figure 10-9c C

Work and Family The rise of female labor force participation: ● Revolutionary social change with profound effects on the American family What were the beneficial changes of females in the labor force (1) Contribution of wives income essential for families; (2) Lead to “balancing out” of power and decision making; today much more shared decision making, since wife earns similar income, women have much more of a say. ● Positive for women ● Contributes to deepened emotional satisfaction within marriages (3) Lead to increases in father involvement What were the negatives of females in the labor force 1. Negotiating decisions and role responsibilities increased conflict; sometimes leading to divorce 2. The “balancing” of w