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Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q88
4 marks, −1Mathematics › Vector spaces, rank and eigenvaluesEasyabout 1 min

CUET-PG 2023 Shift 2 Question 88: Vector spaces, rank and eigenvalues

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Let vector a=(x,y,z)a = (x, y, z)a=(x,y,z) and vector b=(2,3,5)b = (2, 3, 5)b=(2,3,5). Then a = b if and only if x=2,y=3x = 2, y = 3x=2,y=3 and z=5z = 5z=5. Reason R: Two vectors are equal if all their corresponding components are equal. In the light of the above statements, choose the most appropriate answer from the options given below:

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Let vector a = (x, y, z) and vector b = (2, 3, 5). Then a = b if and only if x = 2, y = 3 and z = 5. Reason R: Two vectors are equal if all their corresponding components are equal. In the light of the above statements, choose the most appropriate answer from the options given below: (A) Both A and R are correct and R is the correct explanation of A (B) Both A and R are correct but R is NOT the correct explanation of A (C) A is correct but R is not correct (D) A is not correct but R is correct

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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.