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

Linear Algebra: A Modern Introduction
4th Edition
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Author:David Poole
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Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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3 ScalarProduct 10.3:
Problem 6
Consider the vectors
ā = 5i+ j– k,
6 = -i - 5j+ k,
č = i+5j+ %
d = i+5j+6 k,
ğ = -5i-3+ k
Which pairs (if any) of these vectors are
(a) Are perpendicular?
(Enter none or a pair or list of pairs, e.g., if a 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 a is parallel to b and
c, 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 a is at an angle less
than pi/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 a is at an angle
greater than pil/2 from b and č, enter (a,b), (a,c).)
Transcribed Image Text:3 ScalarProduct 10.3: Problem 6 Consider the vectors ā = 5i+ j– k, 6 = -i - 5j+ k, č = i+5j+ % d = i+5j+6 k, ğ = -5i-3+ k Which pairs (if any) of these vectors are (a) Are perpendicular? (Enter none or a pair or list of pairs, e.g., if a 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 a is parallel to b and c, 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 a is at an angle less than pi/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 a is at an angle greater than pil/2 from b and č, enter (a,b), (a,c).)
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