Assume Vector A has a length of 10.0 km and Vector 8 has a length of 20.0 km. Wh

Question

Assume Vector A has a length of 10.0 km and Vector 8 has a length of 20.0 km. What is the maximum possible length of the sum of these 2 vectors? What is the minimum possible length of the sum of these 2 vectors? Assume Vector A is directed 30 degrees East of South counterclockwise Determine its X (E-W)- and Y (N-S)- coordinates. I recommend a sketch. Assume Vector B is 45 degrees North of West counterclockwise. Determine its X (E-W)-andY(N-S)- coordinates. I still recommend a sketch. Find Vector C which is equal to the sum of Vectors A and B Find the magnitude and the angle of Vector C.

Explanation / Answer

Tthe minimum is when the vectors are in opposite directions and the maximum is when they are in the same direction.
So the maximum length of the vector is 10 km + 20 km = 30 km

And the minimum length of the vector is 20km - 10 km = 10 km.

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