Consider the points A (1, 5, 4), B (3, 1, 2) and D (3, k, 2), with (AD) perpendicular to (AB). (a) Find (i) AB; (ii) AD, giving your answer in terms of k. (b) Show that k=7. The point C is such that BC = -AD. (c) Find the position vector of C.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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I am uploading this question for PART C. 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!

Consider the points A (1, 5, 4), B (3, 1, 2) and D (3, k, 2), with (AD) perpendicular to (AB).
(a) Find
(i)
AB;
(ii) AD, giving your answer in terms of k.
(b)
Show that k=7.
The point C is such that BC = -AD.
%3D
(c)
Find the position vector of C.
(d)
Find cos ABC.
(Total 13
1/0
(6)
Transcribed Image Text:Consider the points A (1, 5, 4), B (3, 1, 2) and D (3, k, 2), with (AD) perpendicular to (AB). (a) Find (i) AB; (ii) AD, giving your answer in terms of k. (b) Show that k=7. The point C is such that BC = -AD. %3D (c) Find the position vector of C. (d) Find cos ABC. (Total 13 1/0 (6)
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