Maths-
General
Easy
Question
Assertion (A): If vector and are linearly dependent, then vectors , , must be dependent.
Reason (R): If vector and are linearly independent, then vectors , , must be linearly independent, where vector is non-zero.
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If (A) is true but (R) is false.
Assertion is true.If system of and vectors are linearly dependent, then their super system must be dependent.
Reason is False.If system of vectors and are linearly independent, then their super system may not be independent.
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Reason: If in ABC, C = 90º, then cos 2A + cos 2B + cos 2C = – 1.
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