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Introduction to Learning Geometry in Space

Geometry in space is the study of simple shapes, defining their properties and along with the formulas for finding the areas or volumes of the shapes. The Greek mathematicians of Euclid create a definition, axioms and postulates to study about the Geometry help online in Space. He used the term ‘postulate’ for assumptions that were specific to geometry. Axioms, on the other hand, were assumptions used throughout mathematics and not specifically linked to geometry.

Equation of a Line to Learn Geometry in Space

Equation of a line from a given point and parallel to a given vector b

Let be the position vector at given point. A with respect to the origin (O) of the rectangular coordinate system. Let (l) be the line which passes through the point A and is parallel to a given vector . Let be the position of vector in an arbitrary point (P) on the line solved geometry answers.

Then is parallel to the vector ,

i.e., = λ, where λ is some real number.

But = –

i.e. λ = −

For each value of the parameter λ Conversely, this equation gives the position vector of a point P on the line. Hence, the vector equation of the line is given by = + λ

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