Consider the vectors ā = 2i+3- k, č = i+ j+3k d = 21-j+ k, j = -21- j+ k. Which pairs (if any) of these vectors are (a) Are perpendicular? (Enter none or a pair or list of pairs, eg, if ä is perpendicular to b and č, enter (a,b),(a,c),) (b) Are parallel? (Enter none or a pair or list of pairs, eg, if ā is parallel to b and č, enter (a,b),(a,c).) (c) Have an angles less than 7/2 between them? (Enter none or a pair or list of pairs, e.g, if ā is at an angle less than pi/2 from b and č, enter (a,b),(a,c).)

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Chapter5: Inner Product Spaces
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Please help me with this question needed all answers correctly.
Consider the vectors
ā = 2i+ j– k,
ŏ =i+5+ k, č = i+j+3k
d = 21- j+ k,
j = -2i- j+ k.
Which pairs (if any) of these vectors are
(a) Are perpendicular?
(Enter none or a pair or list of pairs, eg, if ā is perpendicular to b and ē, enter (a,b),(a,c))
(b) Are parallel?
(Enter none or a pair or list of pairs, eg, if å is parallel to b and č, enter (a,b),(a,c).)
(c) Have an angles less than 7/2 between them?
(Enter none or a pair or list of pairs, eg, if ā is at an
angle less than pi/2 from b and č, enter (a,b),(a,c).)
(d) Have an angle of more than 7/2 between them?
(Enter none or a pair or list of pairs, eg, if å is at an
angle greater
than pi/2 from b and č, enter (a,b),(a,c).)
Transcribed Image Text:Consider the vectors ā = 2i+ j– k, ŏ =i+5+ k, č = i+j+3k d = 21- j+ k, j = -2i- j+ k. Which pairs (if any) of these vectors are (a) Are perpendicular? (Enter none or a pair or list of pairs, eg, if ā is perpendicular to b and ē, enter (a,b),(a,c)) (b) Are parallel? (Enter none or a pair or list of pairs, eg, if å is parallel to b and č, enter (a,b),(a,c).) (c) Have an angles less than 7/2 between them? (Enter none or a pair or list of pairs, eg, if ā is at an angle less than pi/2 from b and č, enter (a,b),(a,c).) (d) Have an angle of more than 7/2 between them? (Enter none or a pair or list of pairs, eg, if å is at an angle greater than pi/2 from b and č, enter (a,b),(a,c).)
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