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📰 Solution: The given points lie on the plane \(z = 3\). The vector from \((1, 2, 3)\) to \((1, 5, 3)\) is \((0, 3, 0)\), and the vector to \((4, 2, 3)\) is \((3, 0, 0)\). The fourth vertex on the same face is obtained by adding these vectors: \((1 + 3, 2 + 3, 3) = (4, 5, 3)\). 📰 \boxed{(4, 5, 3)} 📰 Question: Find the value of \(x\) such that the vectors \(\begin{pmatrix} x \\ 2 \\ -1 \end{pmatrix}\) and \(\begin{pmatrix} 3 \\ -1 \\ 4 \end{pmatrix}\) are orthogonal. 📰 Section 1557 Of The Aca Exposed Your Healthcare Rights Could Be Under Attackfind Out Why 3088947 📰 From Renowned Designers To Your Homethis Curved Sofa Is A Must Have Now 2062678 📰 This Oak Dining Table Transformed Our Living Roomyou Wont Believe How It Boosts Home Value 1426388 📰 Clearwave Fibers Magic Why This Product Works Better Than Everything Else 8347322 📰 Popular Direct 4493485 📰 Kylie Jenner Naked 6715371 📰 How Rgbp Stock Traders Made Millionsyour Step By Step Guide Inside 1467373 📰 Finn Adventure Time The Epic Journey Youve Been Waiting For 5513069 📰 You Will Not Believe What Came Loaded In This Trailer 1591457 📰 Is Sid Stock About To Break Records The Explosive Growth Explained 2687472 📰 No Mention Of Fixed Total Duration So Duration Unknown But Per Day Suggests Rate Applies Daily 724344 📰 Wells Fargo Transfer Credit Card Balance 1031923 📰 Total Pollinating Only One 80 60 140 5828545 📰 Total Beds 18 3 54 8668341 📰 Japanese Yen To Euro 379612