Let ri = xi+yıj+z¡k, r, = 1,i+ Yzj+ zzk and r3 = 13i+ Yzj+ zzk be the position vectors of points P(11, Y1, 21), P2(x2, Y2, %2) P1 and P3(r3, Y3, 23). Find an equa- tion for the plane passing through P1, P2 and P3. See fig- ure on the right

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 13EQ: In Exercises 13 and 14, give the vector equation of the plane passing through , and . 13.
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Let ri =
xi+yıj+z¡k, r, = 1,i+
Yzj+ zzk and r3 = 13i+ Yzj+ zzk
be the position vectors of
points P(11, Y1, 21), P2(x2, Y2, %2)
P1
and P3(r3, Y3, 23). Find an equa-
tion for the plane passing
through P1, P2 and P3. See fig-
ure on the right
Transcribed Image Text:Let ri = xi+yıj+z¡k, r, = 1,i+ Yzj+ zzk and r3 = 13i+ Yzj+ zzk be the position vectors of points P(11, Y1, 21), P2(x2, Y2, %2) P1 and P3(r3, Y3, 23). Find an equa- tion for the plane passing through P1, P2 and P3. See fig- ure on the right
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