Given three nonzero vectors a, b and c, are the following statements True or False? Give a short reason or counter-example to justify your answer.
(a) If a ⊥ b and also b ⊥ c then a ⊥ c.
(b) If a ⊥ b and also a ⊥ c then a ⊥ (b + c).
(c) If a ⊥ b and also b ⊥ c then b ⊥ (a − c).
(d) If a ⊥ (b + c) and also a ⊥ (b − c) then a ⊥ b.
A=ax i + ay j + az k
C=cx i + cy j + cz k
if (ax)(cx)+(ay)(cy)+(az)(cz) = 0 then A⊥C
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Perpendicular vectors True/False watch
- Thread Starter
Last edited by sk9898; 07-02-2018 at 22:32.
- 07-02-2018 22:24
- 08-02-2018 07:28
Picture a bicycle wheel, and let "a" be one of the spokes and "b" the axle. "a" is perpendicular to "b". Now let "c" be another of the spokes. The axle "b" is perpendicular to all the spokes "c", but most of the spokes "c" are not perpendicular to the initial spoke "a".