if vector A B C are the three non coplanar show that vector A.(vector B × vector C)= vector B (vector C × vector A)= vector C (vector A× vector A) and it is equal to the volume of that parellelopered whose edges are along the vector A B C

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Deepak Kumar Shringi · Answer

area of base of parallelepiped (parallelogram) =bxc the vectorbxcwill be perpendicular to base therefore the volume of parallelopiped =area of base xheight = (bxc) xAcos&theta; =a.(bxc)

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if vector A B C are the three non coplanar show that vector A.(vector B × vector C)= vector B (vector C × vector A)= vector C (vector A× vector A) and it is equal to the volume of that parellelopered whose edges are along the vector A B C

if vector A B C are the three non coplanar show that vector A.(vector B × vector C)= vector B (vector C × vector A)= vector C (vector A× vector A) and it is equal to the volume of that parellelopered whose edges are along the vector A B C

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if vector A B C are the three non coplanar show that vector A.(vector B × vector C)= vector B (vector C × vector A)= vector C (vector A× vector A) and it is equal to the volume of that parellelopered whose edges are along the vector A B C

if vector A B C are the three non coplanar show that vector A.(vector B × vector C)= vector B (vector C × vector A)= vector C (vector A× vector A) and it is equal to the volume of that parellelopered whose edges are along the vector A B C

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