Question

What are the components of vector a

Answer 1

Option (A)

Step-by-step explanation:

From the picture attached,

Given : Vector A with magnitude 12 m.

To Find : Components of vector A.

There are two components of any vector.

1). Horizontal component

2). Vertical component

If vector A represents the velocity, horizontal component of a vector decides the horizontal motion and vertical component decides the vertical motion.

To find these components we draw a right triangle OBA as shown in the figure,

From ΔOBA,

Sin(37)° =
`\frac{\text{AB}}{\text{OA}}`

=
`\frac{{A_x}}{{A}}`

`A_x=A\text{Sin}(37)`

= 12Sin(37)°

= 7.22 m

`A_y=A\text{Cos}(37)`

= 12Cos(37)°

= 9.58 m

Therefore, Option (1) is the correct option.