1995

JEE Main 1995 Mathematics question on Vector Algebra

If a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c} are three non-coplanar vectors, then (a⃗+b⃗+c⃗)⋅[(a⃗+b⃗)×(a⃗+c⃗)](\vec{a} + \vec{b} + \vec{c}) \cdot [(\vec{a} + \vec{b}) \times (\vec{a} + \vec{c})] equals
  1. A.
    0
  2. B.
    [a⃗ b⃗ c⃗][\vec{a} \ \vec{b} \ \vec{c}]
  3. C.
    2[a⃗ b⃗ c⃗]2[\vec{a} \ \vec{b} \ \vec{c}]
  4. D.
    [a⃗ b⃗ c⃗][\vec{a} \ \vec{b} \ \vec{c}]
Show answer

Correct option: D

[1995]

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