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Vectors: Line through math direction math meets plane math at math?

Components, dot product, magnitude.

Try the problem

Line through (1,1,1)(1,1,1) direction ⟨1,0,0⟩\langle1,0,0\rangle meets plane x=3x=3 at x=x=?

Hint and answer

Concept to use

Projection formulas.

Hint

Parametrize.

Answer

3

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