Find the component form of vector u + v given and the angles that u and v make with the positive x-axis are

Question

Find the component form of vector u + v given  and the angles that u and v make with the positive x-axis are

Quizplus · Accepted Answer

To find the component form of u + v, we first need to find the components of u and v.
Let's assume the magnitude of both vectors is 1 (i.e. they are unit vectors).
The angle between u and the positive x-axis is given as 11ebbd4d_3efb_e8d1_8a0a_750a9123ed80_TB8202_11. Using this angle, we can find the x-component and y-component of u using the following formulas:

u_x = cos(11ebbd4d_3efb_e8d1_8a0a_750a9123ed80_TB8202_11) = 0.307
u_y = sin(11ebbd4d_3efb_e8d1_8a0a_750a9123ed80_TB8202_11) = 0.952

Similarly, we can find the components of v using the given angle:

v_x = cos(11ebbd4d_3efb_e8d1_8a0a_750a9123ed80_TB8202_11) = 0.307
v_y = sin(11ebbd4d_3efb_e8d1_8a0a_750a9123ed80_TB8202_11) = 0.952

Now, the components of u + v can be found by simply adding the corresponding components of u and v:

(u + v)_x = u_x + v_x = 0.307 + 0.307 = 0.614
(u + v)_y = u_y + v_y = 0.952 + 0.952 = 1.904

Therefore, the component form of u + v is <0.614, 1.904>, which can be written in hexadecimal form as 11ebbd4d_3efc_0fe5_8a0a_b77745436c59_TB8202_11.

Find the Component Form of Vector U + V Given