The two vectors parallel to v of the given length. v=6, −8, 0; length=30 are; ⟨18, −24, 0⟩ and ⟨18, 24, 0⟩
The length of the vector v is gotten as;
|v| = √[6² + (-8)² + 0²)
|v| = 10
So v has a length 10. To obtain vectors parallel to v of length 30, we need to multiply v by (30/10) = 3 and (-30/10) = -3.
We will have the two parallel vectors at;
3⟨6, −8, 0⟩
−3⟨6, −8, 0⟩
= ⟨18, −24, 0⟩
=⟨18, 24, 0⟩
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