On a plane flat surface with "up" given as  +y and  "right" given as +x, we add two vectors.  One of them has  components (4, 4). Their sum is (3,6).  What is the unknown second vector and what is its angle to the x-axis? Hint: The angle is the one that has a tangent that is the ratio of its y to its x component, or a sine that is the y component divided by its length.     The second vector is (-1,-2).  It is about 63° down from -x.     The second vector is (7,10).  It is about 55° up from +x.     The second vector is (1,-2). It is about 63° down from +x.     The second vector is (-1,2). It is about 63° up from -x.

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Chapter1: Units, Trigonometry. And Vectors
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On a plane flat surface with "up" given as  +y and  "right" given as +x, we add two vectors.  One of them has  components (4, 4). Their sum is (3,6).  What is the unknown second vector and what is its angle to the x-axis?

Hint: The angle is the one that has a tangent that is the ratio of its y to its x component, or a sine that is the y component divided by its length.

   

The second vector is (-1,-2).  It is about 63° down from -x.

   

The second vector is (7,10).  It is about 55° up from +x.

   

The second vector is (1,-2). It is about 63° down from +x.

   

The second vector is (-1,2). It is about 63° up from -x.

 

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