Question

Discuss perpendicular components of a vector in two dimensions,​

Answer 1

Answer:

Next we resolve the force into components parallel to the axes. Since these directions are perpendicular to one another, the components form a right-angled triangle with the original force as its hypotenuse. ... →Fx is in the negative x-direction and →Fy is in the negative y-direction.

Answer 2

Explanation:

Resolution of vector in two Dimensions. The resolution of a vector into two mutually perpendicular vectors is called the rectangular resolution of vector in a plane or two dimensions.

Consider that a vector

OP

=

A

has to be resolved into two component vector along the direction of two mutually perpendicular directions of X-axis and Y-axis. Let

i

^

and

j

^

be the unit vectors along X-axis and Y-axis respectively figure 2.19.

From point P, drop PM and PN perpendicular to X-axis and Y-axis respectively. From the parallelogram law of vector addition, it follows that