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Determine whether the given vectors are orthogonal, parallel or neither. (a) a=[-5,3,7], b=[6,-8,2], (b) a=[4,6] b=[-3,2] (c) a=[-1,2,5] b=[3,4,-1] (d) a=[2,6,-4], b=[-3,-9,6]

Respuesta :

Answer:

Step-by-step explanation:

Two vectors are parallel is their coordinates are proportional

Orthogonal if dot product is 0

By applying this we can say

a)  a=[-5,3,7], b=[6,-8,2],

-5/ 6 ≠3/-8

NOt parallel

Dot product = -30-24+14 ≠0

Not orthogonal

b) a.b = -12+12=0. Orthogonal

c) a.b = 3+6-5 ≠0 Neither proportional

So neither

d) 2/-3 = 6/-9=-4/6

Hence parallel

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