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plumduck388Lv1
6 Nov 2019
Use vectors to show that the midpoint of the line segment joining P(x1,y1) and Q(x2,y2) is the point (x1 + x2/2, y1 + y2/2), Let O be the origin and let M be the midpoint of PQ. The goal is to derive a formula for the vector . Consider the picture to the right. Which of the following expressions is a correct formula for ? Choose the correct answer below. Note that the coordinates of the point M are not known. Which of the following expressions correctly relates to ? Choose the correct answer below. = 2 = = 1/2 = 1/3 Therefore, a formula for the components of is needed. Which of the following position vectors is equal to ? Choose the correct answer below? = x2 - x1,y2 - y1 = x2,y2 = y2 - y1,x2 - x1 = x1 - x2,y1 - y2 Now, determine a formula for . Choose the correct answer below. = x1 - x2, y1 - y2 = x1 - x2/3, y1 - y2/3 = 2 x2 - x1,y2 - y1 Next, determine a formula for . Choose the correct answer below. = x2, y2 = x1+x2/2, y1+y2/2 4x1/3,4y1/3 = x1 + x2, y1 + y2 Since is a vector with its tail at the origin and head at M, where is the point M? Choose the correct answer below. (x2,y2) (x1 + x2/2,y1 + y2/2) (4x1 - x2/3,4y1 - y2/3) (x1 + x2, y1 + y2) Show transcribed image text
Use vectors to show that the midpoint of the line segment joining P(x1,y1) and Q(x2,y2) is the point (x1 + x2/2, y1 + y2/2), Let O be the origin and let M be the midpoint of PQ. The goal is to derive a formula for the vector . Consider the picture to the right. Which of the following expressions is a correct formula for ? Choose the correct answer below. Note that the coordinates of the point M are not known. Which of the following expressions correctly relates to ? Choose the correct answer below. = 2 = = 1/2 = 1/3 Therefore, a formula for the components of is needed. Which of the following position vectors is equal to ? Choose the correct answer below? = x2 - x1,y2 - y1 = x2,y2 = y2 - y1,x2 - x1 = x1 - x2,y1 - y2 Now, determine a formula for . Choose the correct answer below. = x1 - x2, y1 - y2 = x1 - x2/3, y1 - y2/3 = 2 x2 - x1,y2 - y1 Next, determine a formula for . Choose the correct answer below. = x2, y2 = x1+x2/2, y1+y2/2 4x1/3,4y1/3 = x1 + x2, y1 + y2 Since is a vector with its tail at the origin and head at M, where is the point M? Choose the correct answer below. (x2,y2) (x1 + x2/2,y1 + y2/2) (4x1 - x2/3,4y1 - y2/3) (x1 + x2, y1 + y2)
Show transcribed image text Deanna HettingerLv2
8 Sep 2019