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Assertion: If `vec(A).vec(B)= vec(B).vec(C )`, then `vec(A)` may not always be equal to `vec(C )`. Reason: The dot product of two vectors involves consine of the angle between the two vectors.A. If both assertion and reason are true and reason is the correct explanation of assertion.B. If both assertion and reason are true but reason is not the correct explanation of assertionC. If assertion is true but reason is false.D. If both aseertion and reason are false.

Answer» Correct Answer - A
`vec(A).vec(B)= vec(B).vec(C )implies AB cos theta_(1)= BC cos theta_(2)`
`:. A=C`, only when, `theta_(1)= theta_(2)`
So when angle between `vec(A)` and `vec(B)` is equal to angle between `vec(B)` and `vec(C )` only then `vec(A)` equal to `vec(C )`.


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