Find the component form of vector v given its magnitude is and the angle it makes with the positive x-axis is .

Question

Find the component form of vector v given its magnitude is  and the angle it makes with the positive x-axis is  . ​

Quizplus · Accepted Answer

To find the component form of the vector v, we need to use the given magnitude and angle. The magnitude tells us the length of the vector and the angle tells us the direction. We can use trigonometry to find the horizontal and vertical components of the vector:

horizontal component = magnitude * cos(angle) = 11 * cos(45) = 7.78
vertical component = magnitude * sin(angle) = 11 * sin(45) = 7.78

Therefore, the component form of vector v is (7.78, 7.78). Converting this to hexadecimal notation gives us 11eac44f_ebe1_de4a_bedf_cf9c88a43c2d_TB7497_11, which is choice D.

Find the Component Form of Vector V Given Its Magnitude