Dot product, cross product, scalar/vector triple products, applications.
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Q1 · Product of Vectors · MEDIUM
If vectors **a** = 2**i** + 3**j** - **k** and **b** = **i** - 2**j** + 4**k**, then the projection of **a** on **b** is
Q2 · Product of Vectors · HARD
If **a** = **i** + 2**j** + 3**k**, **b** = 2**i** - **j** + **k**, then the area of the parallelogram with adjacent sides **a** and **b** is