Question: Problem 1. Consider the points P and Q in R2 or R3. Let p and q be the position vectors of P and Q respectively.


Problem 1. Consider the points P and Q in R2 or R3. Let p and q be the position vectors of P and Q respectively. Consider the line given by the vector form x=p+t(qp). Let's identify the vector x with its tip in standard position. (1) What does the equation x=p+t(qp) describe if t=0, how about when t=1 ? Explain your work here. Draw a picture. When t=0 and when t=1 (2) What does the equation x=p+t(qp) describe as t varies from 0 to 1 ? Problem 1. Consider the points P and Q in R2 or R3. Let p and q be the position vectors of P and Q respectively. Consider the line given by the vector form x=p+t(qp). Let's identify the vector x with its tip in standard position. (1) What does the equation x=p+t(qp) describe if t=0, how about when t=1 ? Explain your work here. Draw a picture. (2) What does the equation x=p+t(qp) describe as t varies from 0 to 1
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