Vector algebra, dot and cross products and applications.
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Q1 · Vectors · MEDIUM
Two vectors ā = 2î + 3ĵ - k̂ and b̄ = î - 2ĵ + 4k̂ are given. The dot product ā · b̄ equals:
Q2 · Vectors · MEDIUM
If vectors **a** = 2**i** - **j** + **k**, **b** = **i** + 2**j** - 3**k**, and **c** = 3**i** + p**j** + 5**k** are coplanar, then the value of p is: