Full Frame (FX), Crop sensor (DX) Confusion?

Hi, I am really confused on this. I know that the Crop sensor (DX because i use nikon) or APS-C i think it's called has a smaller sensor than a full frame. My understanding is that when you put an FX lens on a DX its focal length is multiplied by 1.5 (Am i right?), but when you put DX lens on an FX the image is cropped. When they say it gets cropped does it mean it actually creates a smaller image? So if a Full frame camera normally produced a 6000x4000 image would it be 4000x2666 or something with a DX lens on it? Please correct me on this if i am wrong.

So if an FX lens on a DX body is multiplied by 1.5 for focal length, would it produce the same quality? For example if i put an FX lens on a DX body with a multiplied focal length to create a focal length of 400, would a DX lens with a focal length of 400 be better quality? (Not including the quality differences in the lenses themselves!)

So to summarize if you put FX lens on DX body the focal length would be multiplied by 1.5 right? And if you put a DX lens on a FX body it would be a smaller image correct? Thanks!

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My Nikon 18-55mm kit lens clicks when zooming?

I can t seem to find any info about this. When i turn the zoom ring it goes click click click inside it. I haven t damaged it or anything so i do not know what is happening. I only bought it like 2 and a half weeks ago with my D3300. Specifically it clicks when i extend it from its compact position to 18 or when i extend from 24 -18 (and vice versa)
Added (1). Also I can't see any problems. I don't know if VR is the cause or anything and I am pretty sure it's working

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Why is my Nikon D3300 producing all black photos when my flash is off?

My pictures come out fine when I have the flash open and on but when it's closed my pictures come out pitch black even when it's sunny outside with great lighting. I just purchased this camera brand new from best buy a month ago. But the return policy is 15 days. I'm just worried I wasted 400$.

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Why is my Nikon D3300 producing all black photos when my flash is closed?

Why is my Nikon D3300 producing all black photos when my flash is closed? - 1

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I want to change the camera from the Nikon d7000 to the Fujifilm XT1?

I want to change the camera from the Nikon d7000 to the Fujifilm XT1? - 1

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