1998

JEE Main 1998 Mathematics question on Vector Algebra

For three vectors u⃗,v⃗,w⃗\vec{u}, \vec{v}, \vec{w} which of the following expressions is not equal to any of the remaining three?
  1. A.
    u⃗⋅(v⃗×w⃗)\vec{u} \cdot (\vec{v} \times \vec{w})
  2. B.
    (v⃗×w⃗)⋅u⃗(\vec{v} \times \vec{w}) \cdot \vec{u}
  3. C.
    v⃗⋅(u⃗×w⃗)\vec{v} \cdot (\vec{u} \times \vec{w})
  4. D.
    (u⃗×v⃗)⋅w⃗(\vec{u} \times \vec{v}) \cdot \vec{w}
Show answer

Correct option: D

[1998]

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