Two vectors are linearly independent if the don’t point in the same direction.
Assume we have one vector, and it points in the northeast direction and it is 
Assume the only operation we have is multiplication by a scalar.
- We can make any vector where the two components are equal.
- Every vector we make will point in the northeast direction.
To break out of this limitation, we each take care to choose two vectors that do not point the same direction. If they don’t, they are linearly independent and we can use them to make any vector that exists in 2D space.
Vectoreverything 