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. The vectors and represent the sides of a regular hexagon. Assertion (A): . Reason (R): and .
Assertion: $\vec{PQ} \times (\vec{RS} + \vec{ST}) \neq \vec{0}$.
Reason: $\vec{PQ} \times \vec{RS} = \vec{0}$ and $\vec{PQ} \times \vec{ST} \neq \vec{0}$.
The vectors $\vec{PQ}, \vec{QR}, \vec{RS}, \vec{ST}, \vec{TU}$ and $\vec{UP}$ represent the sides of a regular hexagon.
Assertion (A): $\vec{PQ} \times (\vec{RS} + \vec{ST}) \neq \vec{0}$.
Reason (R): $\vec{PQ} \times \vec{RS} = \vec{0}$ and $\vec{PQ} \times \vec{ST} \neq \vec{0}$.
- (a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of A.
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
Answer
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From ISC 2025 Practice Mathematics, question 39.