Question

the X and Y components of a vector are 4 root 3 and 4 respectively what angle does the vector make with positive x-axis

Answer 1

the answer is the photo above.

Answer 2

Answer:

$\theta=30^{\circ}$

Explanation:

A vector is given in the form of,

y = ai + bj

Where

a and b are the x and y component of the vector

Here, the X and Y components of a vector are 4 root 3 and 4, such that the vector becomes :

$y=4\sqrt{3}i+4j$

Let $\theta$ is the angle the vector make with positive x axis such that,

$tan\theta=\dfrac{Y}{X}$

$tan\theta=\dfrac{4}{4\sqrt{3}}$

$\theta=30^{\circ}$

So, the angle make with positive x axis is 30 degrees. Hence, this is the required solution.