Please answer part e

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Please answer part e

3. Given three points 4(1,-1,-1), B(-2,2,1) and C(0,1, –2). Determine:
a. Equation of the plane through A, B and C and its normal vector.
b. Equation of the line of intersection of plane in no.1 and plane x+y+z+1=0.
c. Equation of the plane through A and orthogonal to vector BC.
d. Equation of the plane through B and parallel to plane x+2y+3z+4 =0.
e. Distance between C to plane x-2y+2z–1= 0.
Transcribed Image Text:3. Given three points 4(1,-1,-1), B(-2,2,1) and C(0,1, –2). Determine: a. Equation of the plane through A, B and C and its normal vector. b. Equation of the line of intersection of plane in no.1 and plane x+y+z+1=0. c. Equation of the plane through A and orthogonal to vector BC. d. Equation of the plane through B and parallel to plane x+2y+3z+4 =0. e. Distance between C to plane x-2y+2z–1= 0.
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