Question

A line L through the origin in R^3 can be represented by parametrix equations of the form x = at, y = bt, z = ct

A line L through the origin in R^3 can be represented by parametrix equations of the form x = at, y = bt, z = ct. Use these equations to show that L is a subspace of R^3; that is show that if v1 = (x1, y1, z1) and v2 = (x2, y2, z2) are points on L and k is any real number then kv1 and v1 + v2 are also points on L.

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