Points A(0,0,0), B(1,2,0), C(2,0,1), D(1,1,3) are given. Find the volume of the parallelepiped formed by AB, AC and AD.
Physics · Mathematical tools and vector · Vectors
NEET JEE Mains

Question

Points A(0,0,0), B(1,2,0), C(2,0,1), D(1,1,3) are given. Find the volume of the parallelepiped formed by AB, AC and AD.

G1 Physics · Accepted Answer

AB=(1,2,0), AC=(2,0,1), AD=(1,1,3). AC×AD=(−1,−5,2). AB·(AC×AD)=−1−10=−11. Volume=11.