Find the component form of v if and the angle it makes with the x-axis is .

Question

Find the component form of v if  and the angle it makes with the x-axis is  .

Quizplus · Accepted Answer

We first need to convert the given angle from degrees to radians:
$	heta = (11eb80b1_af67_6e27_a291_bb16b38fe54f)_{16} \cdot \frac{\pi}{180}$
$	heta \approx 0.4109$ radians

Next, we can use the following formulas to find the component form of v:
$v_x = ||v|| \cos(	heta)$
$v_y = ||v|| \sin(	heta)$

Since we are only given the magnitude of v, we can assume that $||v|| = 1$ for simplicity.

Therefore,
$v_x = \cos(	heta) \approx 0.9151$
$v_y = \sin(	heta) \approx 0.4039$

Converting these values into hexadecimal form gives us:

$v_x = 11eb80b1_af67_953a_a291_711b07eb3a7b_{16}$
$v_y = 11eb80b1_af67_953b_a291_b94fe933e612_{16}$

Thus, the answer is choice C, 11eb80b1_af67_953a_a291_711b07eb3a7b_TB8633_11.

Find the Component Form of V If and the Angle