Mathematics · Vector Algebra
Given below are two statements: an Assertion (A) and a Reason (R). Choose the correct option. Assertion (A): The vectors a⃗ = 4î + ĵ - k̂ and b⃗ = -2î + 3ĵ - 5k̂ are mutually perpendicular vectors. Reason (R): Two vectors a⃗ and b⃗ are perpendicular to each other if their dot product is zero, i.e., a⃗ · b⃗ = 0.
- 1Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).✓
- 2Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- 3Assertion (A) is true and Reason (R) is false.
- 4Assertion (A) is false and Reason (R) is true.
Correct answer
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
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