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If a vector OP = 3i+3j is turned clockwise by an angle of 15 degree, then the y component of rotated vector would be... [I need solution of this question with full explanation.]

If a vector OP = 3i+3j is turned clockwise by an angle of 15 degree, then the y component of rotated vector would be... [I need solution of this question with full explanation.]

Grade:12th pass

1 Answers

Kapil paliwal
15 Points
5 years ago
Vector OP is given as
       OP =3i+3j
Now we can find it's magnitude as well as it's direction both
Magnitude =√3^2+√3^2
                   =3√2
Now in order to find the direction 
         Theeta=tan^-1(3/3)
                      =45°
Now when vector is rotated by 15° it's magnitude will remain unchanged 
While angle of vector will become 45+15=60°
So y component =
                         Y=OP sin60°
                            =3√2
                             =3.67
Answerd by Kapil paliwal

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