Consider the vectors
a⃗ =4i⃗ +j⃗ −k⃗ ,b⃗ =i⃗ +j⃗ +5k⃗ ,c⃗ =i⃗ +4j⃗ −k⃗
d⃗ =−4i⃗ −j⃗ +k⃗ ,g⃗...
Mathematics, 02.08.2021 21:10 lfeliz
Consider the vectors
a⃗ =4i⃗ +j⃗ −k⃗ ,b⃗ =i⃗ +j⃗ +5k⃗ ,c⃗ =i⃗ +4j⃗ −k⃗
d⃗ =−4i⃗ −j⃗ +k⃗ ,g⃗ =i⃗ −4j⃗ .
Which pairs (if any) of these vectors are
(a) Are perpendicular?
(Enter none or a pair or list of pairs, e. g., if a⃗ is perpendicular to b⃗ and c⃗ , enter (a, b),(a, c).)
(b) Are parallel?
(Enter none or a pair or list of pairs, e. g., if a⃗ is parallel to b⃗ and c⃗ , enter (a, b),(a, c).)
(c) Have an angles less than π/2 between them?
(Enter none or a pair or list of pairs, e. g., if a⃗ is at an angle less than pi/2 from b⃗ and c⃗ , enter (a, b),(a, c).)
(d) Have an angle of more than π/2 between them?
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