- The plane : is norural to the vector i- 214k and passes through the point A(3, 1.-1). Te pane 2 a cquntion x-y-1=0. a Find the acute angle between ibe planes , und - Given that n, and n; meet in the line L, b. Verify that L passes through the point B(1,0,-1) ad is parnilei 1o the vector i +j+k. C. Write down a parametric equation of the line 1, aod hucnce find ihe paint Pon L such that AP 15 perpendicular to L. d. If'the normal through A to T; mects n, at Q. Shaw that ibe arca of the triangle AP0 is V3 Square units

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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3. The plare a, is notiral to the vector (-2 +kand passes treuph the pount A(3, 1.-1). The plane , han
cquation x-y-1=0.
a Find the acute angle between ibe planes , und .
Given that n, and n; nicet in the line L
b. Verily that L passes through the point B(1,0, -1) and is parailei to the vecter i +i+k.
C. Write down a parametric equation of the line 1, acal tence find the paint Pon L. such than AP 1s
perpendicular to L.
d. If'the normal through A to T2 mects n, at Q. Shaw that ibe arca of the triangle AP0 is
V3 Square units.
Transcribed Image Text:3. The plare a, is notiral to the vector (-2 +kand passes treuph the pount A(3, 1.-1). The plane , han cquation x-y-1=0. a Find the acute angle between ibe planes , und . Given that n, and n; nicet in the line L b. Verily that L passes through the point B(1,0, -1) and is parailei to the vecter i +i+k. C. Write down a parametric equation of the line 1, acal tence find the paint Pon L. such than AP 1s perpendicular to L. d. If'the normal through A to T2 mects n, at Q. Shaw that ibe arca of the triangle AP0 is V3 Square units.
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