What is the volume of the parallelepiped formed by vectors a=(5,0,0), b=(0,4,0), c=(0,0,7)?
Vectors a=(5,0,0), b=(0,4,0), c=(0,0,7) से बने parallelepiped का volume क्या है?
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Correct Answer
A. 140
ExplanationStep 1: volume is the absolute scalar triple product. Step 2: for these diagonal-type vectors, determinant is 5×4×7=140. Step 3: tip: scalar triple product gives volume of a parallelepiped.
Step 1: volume = |scalar triple product| होता है। Step 2: diagonal type vectors होने से determinant 5×4×7=140 है। Step 3: tip: scalar triple product parallelepiped volume देता है।