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The diagram below shows a cuboid (rectangular solid) OJKLMNPQ. The vertex O is (0, 0, 0), J is (6, 0, 0), K is (6, 0, 10), M is (0, 7, 0) and Q is (0, 7, 10).

The diagram below shows a cuboid (rectangular solid) OJKLMNPQ. The vertex O is (0, 0, 0), J is (6, 0, 0), K is (6, 0, 10), M is (0, 7, 0) and Q is (0, 7, 10).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 51E
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I am uploading this question for PART A. I know you guys cannot just go and answer a question all the way through so I am uploading individual parts of these questions so it doesn't get rejected and y'all get more money!! My tutor flaked on me today (not associated with bartleby). This is not a test and I am not copying answers but I need a reference sheet which I usually get from my tutor who isn't here. Thanks!

The diagram below shows a cuboid (rectangular solid) OJKLMNPQ. The vertex O is (0, 0, 0), J is (6, 0, 0), K is (6, 0, 10), M is (0, 7,0) and Q is (0, 7, 10). Q (0, 7, 10) |K(6, 0, 10) M(0.7.0) - N O(0, 0, 0) J(6, 0, 0) (a) (i) Show that JQ 10 (ii) Find MK. (0) -6) (b) An equation for the line (MK) is r 7 +s 7 10 (i) Write down an equation for the line (JQ) in the form r= a+tb. (ii) Find the acute angle between (JQ) and (MK). (c) The lines (JQ) and (MK) intersect at D. Find the position vector of D.
Transcribed Image Text:The diagram below shows a cuboid (rectangular solid) OJKLMNPQ. The vertex O is (0, 0, 0), J is (6, 0, 0), K is (6, 0, 10), M is (0, 7,0) and Q is (0, 7, 10). Q (0, 7, 10) |K(6, 0, 10) M(0.7.0) - N O(0, 0, 0) J(6, 0, 0) (a) (i) Show that JQ 10 (ii) Find MK. (0) -6) (b) An equation for the line (MK) is r 7 +s 7 10 (i) Write down an equation for the line (JQ) in the form r= a+tb. (ii) Find the acute angle between (JQ) and (MK). (c) The lines (JQ) and (MK) intersect at D. Find the position vector of D.
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