The rectangular components of a vector lying in XY plane are ( N +2) and 1. If the coordinate system is turned by 300, they become N and 4. The value of N is
1.7/4
2.4/11
3.4/7
4.11/4
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Answers
Given : The rectangular components of a vector lying in XY plane are ( N +2) and 1. If the coordinate system is turned by 300, they become N and 4.
To Find : The value of N
Solution:
The rectangular components of a vector lying in XY plane are ( N +2) and 1.
Vector magnitude =√ { (N + 2)² + 1²}
Coordinate system is turned by 300, they become N and 4
Vector magnitude =√ { N² + 4²}
√ { (N + 2)² + 1²} = √ { N² + 4²}
=> (N + 2)² + 1² = N² + 4²
=> N² + 4N + 4 + 1 = N² + 16
=> 4N = 11
=> N = 11/4
value of N is 11/4
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