QUESTION 2 Given p= (-2,1,a), q=(1,1,2) and i = (3,a,4) . a) Find px(q+r) in terms of a. b) Use your answer in a) to determine the value of a such that p and q+r are two parallel vectors. c) Let a = 2, p= BC , q= AC and r= OA where A, B and C are three points in three- dimensional space. i) Show that coordinate of B is (6, 2, 4). ii) Construct the symmetric equation of line L, that passes through B and parallel to line L2 with given equation x = 3+ 2t, y= -2 + 3t , z=2-t.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 2
QUESTION 2
Given p = (-2,1,a), q=(1,1,2) and r = (3,a,4) .
a) Find px(q+r) in terms of a.
b)
Use your answer in a) to determine the value of a such that p and q+r are two
parallel vectors.
c)
Let a = 2, p=BC, q= AC and r=OA where A, B and C are three points in three-
dimensional space.
i)
Show that coordinate of B is (6, 2, 4).
ii)
Construct the symmetric equation of line L, that passes through B and parallel
to line L2 with given equation
x = 3+ 2t , y= -2+ 3t , z=2-t.
Transcribed Image Text:QUESTION 2 Given p = (-2,1,a), q=(1,1,2) and r = (3,a,4) . a) Find px(q+r) in terms of a. b) Use your answer in a) to determine the value of a such that p and q+r are two parallel vectors. c) Let a = 2, p=BC, q= AC and r=OA where A, B and C are three points in three- dimensional space. i) Show that coordinate of B is (6, 2, 4). ii) Construct the symmetric equation of line L, that passes through B and parallel to line L2 with given equation x = 3+ 2t , y= -2+ 3t , z=2-t.
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