Find the area of triangle whose vectors are (1,1,1), (2,1,3)and (0,0,1) using vectors .
¯¯¯¯¯¯¯¯OA=(1,1,1)¯¯¯¯¯¯¯¯OB=(2,1,3)¯¯¯¯¯¯¯¯OC=(0,0,1)¯¯¯¯¯¯¯¯AB=(1,0,2)¯¯¯¯¯¯¯¯AC=(−1,−1,0)
¯¯¯¯¯¯¯¯ABׯ¯¯¯¯¯¯¯AC=∣∣ ∣ ∣∣^i^j^k102−1−10∣∣ ∣ ∣∣=2¯i−2¯j−¯¯¯k
Area=12|¯¯¯¯¯¯¯¯ABׯ¯¯¯¯¯¯¯AC|=32square units