Question:
The rectangular components of a vector lying in XY plane are(n 1) and 1.If coordinates system is turned by 60°.They are n and 3 respectively, the value of n is
Answer:
Rotation does not change the magnitude (length) of a vector so:
√[(n+1)² +1²] = √[n² +3²]
(n+1)² +1 = n² + 9
n² + 2n + 2 = n² + 9
2n = 7
n = 3.5
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