Respuesta :
-3.90, 1.83 are the component form of the vector u v.
What is magnitude of vector?
- The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|.
- So basically, this quantity is the length between the initial point and endpoint of the vector.
- The component form of a vector is the ordered pair that describes the changes in the x- and y-values.
- In the graph above x1=0, y1=0 and x2=2, y2=5.
- The ordered pair that describes the changes is (x²- x, y²- y), in our example (2-0, 5-0) or (2,5).
We have vector u = 5 ( cos 75 i + sin 75 j )
= 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j )
= -5.19 i - 3 j
Now we add both component
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j)
= -3.90 i + 1.83 j
= < -3.90, 1.83>
Learn more about component form of a vector
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The correct option is (D). < -3.90, 1.83>
Vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
What are vectors?
- Quantities with both a magnitude and a direction are called vectors.
- A vector can be used to represent a vehicle's motion in the real world. 65 mph is the direction of travel for the car. In this illustration, the vector's magnitude is represented by the car's 65 mph speed and its direction by the northwest.
- In the study of physics, the use of vectors to depict how forces operate on objects is crucial.
Given, vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j
= < -3.90, 1.83>
Learn more about Vectors with the help of the given link:
https://brainly.com/question/14447709
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