Question

Three points \( A(0, 1, 1) \), \( B(2, 0, -1) \) and \( C(1, 0, 3) \) form \(\Delta ABC\). The area of \(\Delta ABC\) is:

• A. \(\frac{53}{2}\) sq. units
• B. \(\sqrt{53}\) sq. units
• C. \(\frac{\sqrt{53}}{2}\) sq. units
• D. \(\sqrt{11}\) sq. units

Hint:

You can use any pair of vectors pointing from a single vertex, such as \( \vec{BA} \times \vec{BC} \) or \( \vec{CA} \times \vec{CB} \). The resulting cross product vector will always have the exact same magnitude \(\sqrt{53}\).

Answer 1

The Correct Option is C