Chapter : 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
(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 Trending Articles & Blogs
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