Answer to Question #290104 in Mechanical Engineering for Chintu

Question

The intersecting edges of a nonorthogonal parallelepiped are defined by the

position vectors TR/A=-20 T+ 30 j + Sk, TOA=8™+ 25 j+ 10k, DA = 4T - 2 j-15k

mm. Determine the volume of this object.

Answer 1

TR/A=-20 T+ 30 j + Sk

TOA=8™+ 25 j+ 10k

DA = 4T - 2 j-15k

Volume=TR/A +TOA+DA

=20 T+ 30 j + Sk+8™+ 25 j+ 10k+4T - 2 j-15k

=24T+53j+(S-5)k+8™mm³