Class CBSE Class 12 Mathematics Vector Algebra Q #817
KNOWLEDGE BASED
REMEMBER
1 Marks 2023 MCQ SINGLE
The magnitude of the vector 6î - 2î + 3ê is
(A) 1
(B) 5
(C) 7
(D) 12
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AI Tutor Explanation

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Step-by-Step Solution

  1. The vector is given as 6î - 2î + 3ê.
  2. The magnitude of a vector aî + bî + cê is calculated as √(a² + b² + c²).
  3. Substitute the values: √(6² + (-2)² + 3²) = √(36 + 4 + 9) = √49 = 7.

Correct Answer: 7

AI Suggestion: Option C

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Pedagogical Audit
Bloom's Analysis: This is an REMEMBER question because it requires recalling the formula for the magnitude of a vector.
Knowledge Dimension: FACTUAL
Justification: The question directly tests the recall of the formula for calculating the magnitude of a vector.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question is directly based on textbook content and requires recall of a specific formula.

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