Question

3) If two vectors acting perpendicularly to each other are
increased twice each, how will resultant vary?​

Answer 1

Answer:

increases in line that are perpendicular

Answer 2

Explanation:

The answer will vary based on the alignment of the two vectors. If I assume one of the vectors is parallel to the horizontal, then we can narrow down the possible arrangements.

Actually, the “perpendicular” vectors should be called “orthogonal” vectors. (The proper term when talking about “perpendicular” vectors)

To find the angle between the result vector and the horizontal, we can assign some variables. Let  f  be the magnitude of the vector and let  h,l  be the y and x component of the vector, respectively.

We can find the angle using the arcsin function.

We know that the total y-component will just be  h  

The total length of the result vector would be:

sqrtf2+h2+l2 , but we know that  h2+l2=f2  

So, the angle will be equal to:

arcsin(h/(f∗sqrt2))  

Any other angles could be figured out, but there are just too many.