Equation of a Line Through two Points in 3 D

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A calculator and solver to find the equation of a line in vector, parametric and symmetric forms is presented. An unlimited number of examples may be generated interactively along with their solutions.

Below is shown a line through two points \( P(x_p,y_p,z_p) \) and \( Q(x_q,y_q,z_q) \).

Line through two points in 3D

Three forms of the equation of the line:

equations of Line through two points

Step by step solution

STEP 1: Find the components of vetor \( \vec {PQ} \) .

STEP 2: Write Equation in Vector form.

STEP 3: Write Equation in Parametric form.

STEP 4: Write Equation in Symmetric form.

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