Assuming user has /bin/bash as the shell in /etc/passwd. Then ssh user@host command runs the command using Bash. However, that shell is neither login nor interactive, which means neither ~/.bash_profile nor ~/.bashrc is sourced. In that case how to set the PATH environment variable so that executables can be found and executed? Is it recommended to prefix the actual command with source ~/.bashrc?

Assuming user has /bin/bash as the shell in /etc/passwd. Then ssh user@host command runs the command using Bash. However, that shell is neither login nor interactive, which means neither ~/.bash_profile nor ~/.bashrc is sourced. In that case how to set the PATH environment variable so that executables can be found and executed? Is it recommended to prefix the actual command with source ~/.bashrc?

Edit. This question is trivial for Bash, because (as people pointed out) ~/.bashrc is sourced in such case. The definitive answer comes from this paragraph in man bash:

Bash attempts to determine when it is being run with its standard input connected to a network connection, as when executed by the remote shell daemon, usually rshd, or the secure shell daemon sshd. If bash determines it is being run in this fashion, it reads and executes commands from ~/.bashrc, if that file exists and is readable. It will not do this if invoked as sh. The --norc option may be used to inhibit this behavior, and the --rcfile option may be used to force another file to be read, but neither rshd nor sshd generally invoke the shell with those options or allow them to be specified.

Assuming user has /bin/bash as the shell in /etc/passwd. Then ssh user@host command runs the command using Bash. However, that shell is neither login nor interactive, which means neither ~/.bash_profile nor ~/.bashrc is sourced. In that case how to set the PATH env so that executables can be found and executed? Is it recommended to prefix the actual command with source ~/.bashrc?

Assuming user has /bin/bash as the shell in /etc/passwd. Then ssh user@host command runs the command using Bash. However, that shell is neither login nor interactive, which means neither ~/.bash_profile nor ~/.bashrc is sourced. In that case how to set the PATH environment variable so that executables can be found and executed? Is it recommended to prefix the actual command with source ~/.bashrc?