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Find the volume of the parallelopiped wh...

Find the volume of the parallelopiped whose cotermius edges are `2hat(i)+hat(j)+3hat(k),-hat(i)+2hat(j)+hat(k) and 3hat(i)+hat(j)+2hat(k)`.

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Let `vec (a) = 2 hat(i) +hat(j) +3hat(k) vec( b) =- hat(i) +2hat(j)+hat(k) vec( c) =3hat(i) +hat(j)+2hat(k)`
Volume of parallelopiped `=[ vec (a) , vec( b) ,vec( c ) ] =|(2,1,3),(-1,2,1),(3,1,2)|=-10` sq units.
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SUBHASH PUBLICATION-VECTOR ALGEBRA -TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS
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  11. Find |vec(a)xxvec(b)|, if a=hat(i) -7hat(j)+7k and b=3hat(i)-2hat(j)+2...

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  14. Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2 (vec(a)xxvec(b)).

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  15. Find lambda and u, if (2hat(i)+6hat(j)+27hat(k))xx(hat(i)+lambdahat(j)...

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  19. Find the volume of the parallelopiped whose cotermius edges are 2hat(i...

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