IIT (NTSE/Olympiad)  

Vector

Resolution of Vectors

5. RESOLUTION OF VECTORS
(a) See the figure below. Vector is in x–y plane and it makes the angle α with the x–axis.

(b) and are the projection of vector on horizontal and vertical axis respectively.
(c) Applying trigonometric theory we can easily find out that OB = A cos α and BA = A sin α.
(d) So = +
= = Ax + Ay
= A cos α + A sin α

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IIT (Class X)

  • WORK, POWER, ENERGY & CONSERVATION LAWS