Go tool unable to find binary. go tool: no such tool "vet" - go

Question

I'm running golang in a docker container. And 'go tool' is unable to find 'vet'. Could you give me ideas on how to debug this?
I've used the Dockerfile for 1.5 as a template. https://github.com/docker-library/golang/blob/51d6eacd41fe80d41105142b9ad32f575082970f/1.5/Dockerfile
ENV GOLANG_VERSION 1.5.1
ENV GOLANG_DOWNLOAD_URL https://golang.org/dl/go$GOLANG_VERSION.linux- amd64.tar.gz
ENV GOLANG_DOWNLOAD_SHA1 46eecd290d8803887dec718c691cc243f2175fe0
RUN curl -fsSL "$GOLANG_DOWNLOAD_URL" -o golang.tar.gz \
&& echo "$GOLANG_DOWNLOAD_SHA1 golang.tar.gz" | sha1sum -c - \
&& tar -C /usr/local -xzf golang.tar.gz \
&& rm golang.tar.gz
ENV GOPATH /go
ENV PATH $GOPATH/bin:/usr/local/go/bin:$PATH
However, when I install govet with
go get golang.org/x/tools/cmd/vet
and try
bash-4.3# go tool vet
go tool: no such tool "vet"
I have the following go environment set up:
$PATH includes $GOPATH/bin /usr/lib/go/bin:/go/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin
bash# go env
GOARCH="amd64"
GOBIN=""
GOEXE=""
GOHOSTARCH="amd64"
GOHOSTOS="linux"
GOOS="linux"
GOPATH="/go"
GORACE=""
GOROOT="/usr/lib/go"
GOTOOLDIR="/usr/lib/go/pkg/tool/linux_amd64"
GO15VENDOREXPERIMENT=""
CC="gcc"
GOGCCFLAGS="-fPIC -m64 -pthread -fmessage-length=0"
CXX="g++"
CGO_ENABLED="1"
bash# ls $GOPATH/bin
fgt go-junit-report godep golint mt-content-blogs vet
bash# ls $GOROOT/bin/
go gofmt
The crux of the issue is that go tools does not list vet, even after installing it with go get golang.org/x/tools/cmd/vet
bash# go tool
addr2line
api
asm
cgo
compile
dist
doc
fix
link
nm
objdump
pack
pprof
trace
yacc

Answer 1

Warning: starting Go 1.12 (February 2019, 3.5 years later), go tool vet won't be available at all. Only go vet.
See go 1.12 release notes:
The go vet command has been rewritten to serve as the base for a range of different source code analysis tools. See the golang.org/x/tools/go/analysis package for details.
A side-effect is that go tool vet is no longer supported.
External tools that use go tool vet must be changed to use go vet.
Using go vet instead of go tool vet should work with all supported versions of Go.
As part of this change, the experimental -shadow option is no longer available with go vet.
Checking for variable shadowing may now be done using:
go install golang.org/x/tools/go/analysis/passes/shadow/cmd/shadow
go vet -vettool=$(which shadow)

Answer 2

Figured out the issue. It appears that I had missed installing go tools on the base docker image that I was using.
RUN apk --update-cache --allow-untrusted \
--repository http://dl-3.alpinelinux.org/alpine/edge/community/ \
--arch=x86_64 add \
go=${GOLANG_VERSION}-r3 \
go-tools=${GOLANG_VERSION}-r3 \
git \
&& rm -rf /var/cache/apk/* \
&& mkdir -p /go/src /go/bin \
&& chmod -R 777 /go