Consider the vectors ä = 5i+ 3- k, 6= 5i – 3 + k, 1+53+ 6k d = i+3+6k, j = -1-53+ k. Which pairs (if any) of these vectors are (a) Are perpendicular? (Enter none or a pair or list of pairs, e.g., if å is perpendicular to b and č, enter (a,b),(a,c).) (b) Are parallel? (Enter none or a pair or list of pairs, e.g., if å is parallel to b and č, enter (a,b),(a,c).) (c) Have an angles less than T/2 between them? (Enter none or a pair or list of pairs, e.g., if å is at an angle less than pi/2 from b and č. enter (a,b). (a,c).)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Consider the vectors
a = 57+ 3- k,
6 = 5i – 3+ k,
č = i+53+6 k
d = i+ 3+6k,
j = -1-53+ .
Which pairs (if any) of these vectors are
(a) Are perpendicular?
(Enter none or a pair or list of pairs, e.g., if å is perpendicular to b and č, enter (a,b),(a,c).)
(b) Are parallel?
(Enter none or a pair or list of pairs, e.g., if å is parallel to b and č, enter (a,b),(a,c).)
(c) Have an angles less than T/2 between them?
(Enter none or a pair or list of pairs, e.g., if å is at an angle less than pil/2 from b and č, enter (a,b), (a,c).)
(d) Have an angle of more than T/2 between them?
(Enter none or a pair or list of pairs, e.g., if å is at an angle greater than pil2 from b and č, enter (a,b), (a,c).)
Transcribed Image Text:Consider the vectors a = 57+ 3- k, 6 = 5i – 3+ k, č = i+53+6 k d = i+ 3+6k, j = -1-53+ . Which pairs (if any) of these vectors are (a) Are perpendicular? (Enter none or a pair or list of pairs, e.g., if å is perpendicular to b and č, enter (a,b),(a,c).) (b) Are parallel? (Enter none or a pair or list of pairs, e.g., if å is parallel to b and č, enter (a,b),(a,c).) (c) Have an angles less than T/2 between them? (Enter none or a pair or list of pairs, e.g., if å is at an angle less than pil/2 from b and č, enter (a,b), (a,c).) (d) Have an angle of more than T/2 between them? (Enter none or a pair or list of pairs, e.g., if å is at an angle greater than pil2 from b and č, enter (a,b), (a,c).)
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