Question:

If ( a × b)² + ( a · b)² = 676 and | b| = 2, then | a| is equal to

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Use vector identity to avoid lengthy calculations.
Updated On: Mar 18, 2026
  • 13
  • 26
  • 39
  • None of these
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The Correct Option is A

Solution and Explanation


Step 1:
Identity: ( a × b)² + ( a · b)² = a² b²
Step 2:
a²(2)² = 676 a² = 169
Step 3:
| a| = 13
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