Collinear Points in 3-Space

1675AdeptLinear AlgebraCoordinate Geometry

Harvard-MIT Mathematics Tournament

If the three points $$ \begin{aligned} & (1, a, b) \\ & (a, 2, b) \\ & (a, b, 3) \end{aligned} $$ are collinear (in 3-space), what is the value of $a+b$?

0 students attempted0% solvedRating 1675

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Collinear Points in 3-Space

1675AdeptLinear AlgebraCoordinate Geometry

Harvard-MIT Mathematics Tournament

If the three points $$ \begin{aligned} & (1, a, b) \\ & (a, 2, b) \\ & (a, b, 3) \end{aligned} $$ are collinear (in 3-space), what is the value of $a+b$?

0 students attempted0% solvedRating 1675