opg. 480-483, #1 Determine vector and parametric equation of the plane that contains the points A(1,2, -1), B(2,1,1), and C(3,114) , #15.) Determine the vector, parametric Cartesian equations of each of the following planes: a) passing through the points PC1, -2,5) and Q (3, 1:2) and parallel to the line with equation Lr 261 +(4€ + 3)j + (t+1) KEER b) containing the point A(1,1,2) and perpendicular to the line Points B(2,1,-6) and C(-2,1,5) Joining the C) passing through the points (41,1,-1) and (5,-2,4) and parallel to the z-axis do passing through the points (1,3,-5), (2,6,4), and (3, -3,3) #19.) as which of the following points lies on the line x=2t, y=3 +t, 2 = 1 +t? A(2,4,27 BC-2,2, 17 C(4,52) D(6,6,2) b.) If the point (a, b, -3) lies on the line, determine the values of a and b

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Chapter9: Vectors In Two And Three Dimensions
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#1 please
opg. 480-483,
#1 Determine vector and parametric equation of the plane that contains
the points AC 1, 2, -1), B(2,1,1), and C(3,14)
#15.) Determine the vector, parametric Cartesian equations of each of
the following planes:
a) passing through the points P(1, -2,5) and Q (3, 1:2) and parallel
to the line with equation L = 2€ +(4+ + 3)j + (t+1) K₁ tER
b) containing the point A (1,1,2) and perpendicular to the line
Points BC2,1,-6) and C(-2,1,5)
joining
the
C) passing through the points (41,1,-1) and (5,-2,4) and parallel to the z-axis
the points (1,3,-5), (2,6,4), and (3, -3,3)
d.)
passing through
#19.)
a) which of the following points lies on the line x=2t, y=3 +€₁ 2 = 1 +t?
A(2,4,2) BC-2, 2, 17
C(4,5,2) D(6,6,2)
5.) If the point (a, b, -3) lies on the line, determine the values of a and b
Transcribed Image Text:opg. 480-483, #1 Determine vector and parametric equation of the plane that contains the points AC 1, 2, -1), B(2,1,1), and C(3,14) #15.) Determine the vector, parametric Cartesian equations of each of the following planes: a) passing through the points P(1, -2,5) and Q (3, 1:2) and parallel to the line with equation L = 2€ +(4+ + 3)j + (t+1) K₁ tER b) containing the point A (1,1,2) and perpendicular to the line Points BC2,1,-6) and C(-2,1,5) joining the C) passing through the points (41,1,-1) and (5,-2,4) and parallel to the z-axis the points (1,3,-5), (2,6,4), and (3, -3,3) d.) passing through #19.) a) which of the following points lies on the line x=2t, y=3 +€₁ 2 = 1 +t? A(2,4,2) BC-2, 2, 17 C(4,5,2) D(6,6,2) 5.) If the point (a, b, -3) lies on the line, determine the values of a and b
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