Determine whether the given vectors are orthogonal, parallel, or neither.

cistG

cistG

Answered question

2021-08-16

Determine whether the given vectors are orthogonal, parallel, or neither. u = ⟨-3, 9, 6⟩, v = ⟨4, -12, -8⟩

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-08-17Added 110 answers

First, we find a dot product of the vectors u and v
uv=34+9(12)+6(8)
=1210848
=1680
Second, we find the agle between the given vectors, for which we have to find length of vectors u and v
|a|=(3)2+92+62
=9+81+36
=126
|b|=42+(12)2+(8)2
=16+144+64
=224
So,
θ=arccos(168126224)
=arccos(1)
=180
=π
Therefore, the given vectors are parallel.
Result:
The given vectors are parallel

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