Two Vectors are Linearly Independent if and only if their Cross Product is Not the Zero Vector

In this exercise we will proof that two vectors in three dimensional space are linearly independent if and only if their cross product is not equal to the zero vector. To this we will also use an important property, I've shown in the previous video: https://youtu.be/zz8GL1dwYO8

⏰ Timeline 00:00 Exercise 00:18 Defining linear independence 01:43 Implication from left to right 03:11 Implication from right to left 05:40 Conclusion

🔢 Statement to proof y,z are linearly independent ⇔ y ⨯ z ≠ 0

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