Do these kinds of HDMI to VGA cables work with Raspberry Pi?
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Maybe you're lucky and with some struggle it will work. Maybe you're unlucky and it won't work at all. With all due respect to Willem van Doesburg, it may look like the exact same cable but it might not be. Plus your system may be different to his, so YMMV.
In summary, you have to hope that (1) this particular cable includes a (passive) digital-to-analog converter, and that (2) your Pi and your Pi's power supply are able to cope with powering this converter. Then you may need to alter your Pi's config to set the resolution to something that your monitor can cope with. Read the links.