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if a b a b 676 and b 2 then a is equal to
Question:
If ( a × b)² + ( a · b)² = 676 and | b| = 2, then | a| is equal to
Show Hint
Use vector identity to avoid lengthy calculations.
BITSAT - 2010
BITSAT
Updated On:
Mar 18, 2026
13
26
39
None of these
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Verified By Collegedunia
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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