Question

the vertical component of a vector is equal to its horizontal component. what is the angle made by the vector with x _ axis​

Answer 1

Answer:45 degrees

Explanation:

Use triangle law, basically, the vector is the hypotenuse and its components are the other two sides of a triangle, the only time when those two sides will be equal in length is when the angle is 45 degrees

Answer 2

Let,

A be a vector

Given,

Vertical component = Horizontal component

$\qquad \sf \: A_{x} \: = \: A_{y}$

$\qquad\sf \: A \: sin \: \theta\: = \: A \: cos \: \theta$

$\displaystyle \qquad\sf \: \frac{sin \: \theta}{cos \: \theta} \: = \: 1 \:$

$\displaystyle \qquad\sf \: \tan \: \theta\: = \: 1 \:$

$\displaystyle \qquad\bf \: \theta\: = \: 45 \degree$

$\:$

$\:$