Consider the vectors a = 3i+j-k, b = -3i - j + k, đít3jt4, + c = i-3j ģ= − i − 3j+ k. Which pairs (if any) of these vectors are (a) Are perpendicular? (a,c),(b,c) (Enter none or a pair or list of pairs, e.g., if á is perpendicular to band è, enter (a,b),(a,c).) (b) Are parallel? (c,a) (Enter none or a pair or list of pairs, e.g., if á is parallel to band è, enter (a,b),(a,c).) (c) Have an angles less than 7/2 between them? (-2/√110 (Enter none or a pair or list of pairs, e.g., if à is at an angle less than pi/2 from band è, enter (a,b),(a,c).) (d) Have an angle of more than π/2 between them? (2√2 86/143) (Enter none or a pair or list of pairs, e.g., if à is at an angle greater than pi/2 from b and è, enter (a,b),(a,c).)
Consider the vectors a = 3i+j-k, b = -3i - j + k, đít3jt4, + c = i-3j ģ= − i − 3j+ k. Which pairs (if any) of these vectors are (a) Are perpendicular? (a,c),(b,c) (Enter none or a pair or list of pairs, e.g., if á is perpendicular to band è, enter (a,b),(a,c).) (b) Are parallel? (c,a) (Enter none or a pair or list of pairs, e.g., if á is parallel to band è, enter (a,b),(a,c).) (c) Have an angles less than 7/2 between them? (-2/√110 (Enter none or a pair or list of pairs, e.g., if à is at an angle less than pi/2 from band è, enter (a,b),(a,c).) (d) Have an angle of more than π/2 between them? (2√2 86/143) (Enter none or a pair or list of pairs, e.g., if à is at an angle greater than pi/2 from b and è, enter (a,b),(a,c).)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the vectors
a = 3i+j-k,
b = -3i - j + k,
đít3jt4,
+
c = i-3j
ģ= − i − 3j+ k.
Which pairs (if any) of these vectors are
(a) Are perpendicular?
(a,c),(b,c)
(Enter none or a pair or list of pairs, e.g., if á is perpendicular to band è, enter (a,b),(a,c).)
(b) Are parallel?
(c,a)
(Enter none or a pair or list of pairs, e.g., if á is parallel to band è, enter (a,b),(a,c).)
(c) Have an angles less than 7/2 between them?
(-2/√110
(Enter none or a pair or list of pairs, e.g., if à is at an angle less than pi/2 from band è, enter (a,b),(a,c).)
(d) Have an angle of more than π/2 between them?
(2√2 86/143)
(Enter none or a pair or list of pairs, e.g., if à is at an angle greater than pi/2 from b and è, enter (a,b),(a,c).)
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