Determine whether the given vectors are orthogonal, parallel,or neither: u=(-3,\ 9,\ 6) v=(4,\ -12,\ -8)

Dillard

Dillard

Answered question

2021-06-09

Determine whether the given vectors are orthogonal, parallel,or neither:
u=(3, 9, 6)
v=(4, 12, 8)

Answer & Explanation

SkladanH

SkladanH

Skilled2021-06-10Added 80 answers

Step 1
We first check the dot product of "u" and "v" to determine if they are orthogonal ( dot product will be 0 ):
u×v=(3)×(4)÷(9)×(12)÷(6)×(8)=1680
so that these vectors are NOT orthogonal. We nextdetermine if "u" and "v" arelinearly dependent:
(3)(4)=34
(9)(12)=34
(6)(8)=34
Hence, these vectors are linearly dependent and arethus parallel:
Vectors "u" and"v" Are PARALLEL

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