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Most Important Selected Qs for JEE AdvancedMathematicsVector Algebra

Let a =-3 i + j + k , b =4 i +2 j +4 k and c =2 i +2 j . If V₁ is the volume of parallelopiped whose three coterminous edges are the vectors a + b , b + c , c + a and V₂ is the volume of tetrahedron whose three coterminous edges are the vectors a b , b c , c a , then find the value of (V₁+V₂ ) .

Correct answer

288

Step-by-step solution

We have [ a b c ]= | array ccc -3 & 1 & 1 4 & 2 & 4 2 & 2 & 0 array |=36 Now V₁=2[ a b c ]=72 and V₂= 1 6 [ a b c ]^2=216 Hence V₁+V₂=288

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