However, Jada had the last laugh when she took to her own Instagram account with a shot of her posing in a yellow bikini.
"Since @willsmith got me look'n all crazy in his Daddy Dearest video ... I had to push some 'counter programming,'" she quipped in the caption. "Daddy Dearest" is, of course, a riff on the 1981 film, Mommie Dearest, which famously depicted a demanding and abusive portrait of Joan Crawford.
It all seems to be in good fun as the family of five, including sons Trey Smith and Jaden Smith, continues to enjoy their trip together. "Just finished shooting @GeminiManMovie for 5 Months... Knocked Out the #WorldCup... Family Vacation Begins TODAY!" Will wrote on social media earlier this week with a group photo.
The famous mom and dad have gotten plenty of quality time with their kids and even got to cross off a special experience on their bucket list.
"I took my Kids SCUBA DIVING today!! Major [check] on my Parenting Bucket List," Will wrote on Instagram along with a video documenting their underwater adventure.
As Jaden quipped, "My dad's crazy, but that was amazing."
Have fun everyone!