
Linear Algebra Math 308 S. Paul Smith
... (3) If L is a line through the origin in Rn , and q and q 0 are points in Rn , then q + L = q 0 + L if and only if q − q 0 ∈ L. (4) If p and q are different points in Rn , then pq is the line through p in the direction q − p. (5) If L and L0 are lines in Rn such that L ⊆ L0 , then L = L0 . This is a ...
... (3) If L is a line through the origin in Rn , and q and q 0 are points in Rn , then q + L = q 0 + L if and only if q − q 0 ∈ L. (4) If p and q are different points in Rn , then pq is the line through p in the direction q − p. (5) If L and L0 are lines in Rn such that L ⊆ L0 , then L = L0 . This is a ...