Vectors – collinear calculation – Exercise 3597

Exercise

For what values of alpha and beta the vectors

a=3i+2j+βk\vec{a}=3\vec{i}+2\vec{j}+\beta \vec{k}

b=αi5j+2k\vec{b}=\alpha \vec{i}-5\vec{j}+2\vec{k}

Are collinear?

Final Answer

α=152,β=45\alpha=\frac{-15}{2},\beta=\frac{-4}{5}

Solution

Coming soon…

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