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Question

Assertion: $(\vec{a} + \vec{b}) \cdot (\vec{b} - \vec{a}) = 2 (a^2 + b^2)$

Reason: Dot product of any two vectors is commutative.

• (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
• (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
• (c)Assertion is true and Reason is false.
• (d)Assertion is false and Reason is true.

Answer

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From ISC 2025 Mathematics Paper 1, question 15(i).