Question

A vector of magnitude 10 has its rectangular components as 8 and 6 along x and y axes.find
the angles it make with these axes.​

Answer 1

Answer:

The angle made with X axis is 37• and with Y axis is 53°

Explanation:

Given:

Magnitude of the vector=10 units

Rectangular components of the vector=8 along x axis and 6 along y axis

To find:

We have to find the angle made by the vector at x and y axis

Solution:

Let Angle made with x-axis

$= \alpha$

therefore tan

$\alpha = \frac{6}{8} = \frac{3}{4}$

thus

$\alpha = 37$

Let Angle made with y-axis =

$\beta \:$

tan

$\beta = \frac{8}{6} = \frac{4}{3}$

$\beta = 53$