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Find the area of a parallelogram whose ...

Find the area of a parallelogram whose adjacent sides are given by the vectors `vec(a)=3 hat i+ hat j+4 hat k` and ` vec(b)= hat i- hat j+ hat k`.

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The correct Answer is:
`(sqrt(42))/(2)`
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Calculate the area of the parallelogram when adjacent sides are given by the vectors vec(A)=hat(i)+2hat(j)+3hat(k) and vec(B)=2hat(i)-3hat(j)+hat(k) .

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MODERN PUBLICATION-VECTOR ALGEBRA -Frequently Asked Questions (Example)
  1. If vec(a) , vec(b) and vec(c ) be three vectors such that vec(a) + vec...

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  2. Three vectors vec(A) = 2hat(i) - hat(j) + hat(k), vec(B) = hat(i) - 3h...

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  3. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

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  4. Find a vector vec a of magnitude 5sqrt(2) making an angle pi/4 with x-...

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  5. Let vec(A)=4hat(i)+5hat(j)-hat(k), vec(b)=hat(i)-4hat(j)+5hat(k) and v...

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  6. If with reference to a right handed system of mutually perpendicula...

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  7. If vectors vec a\ a n d\ vec b\ are such that | vec a|=3,\ | vec b|...

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  8. If 'theta' is the angle between the vectors : vec(a)=hat(i)+2hat(j)+3h...

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  9. Find 'lambda' and 'mu' if : (hat(i)+3hat(j)+9hat(k))xx(3hat(i)-lam...

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  10. If vec a= hat i+ hat j+ hat kand vec b= hat j- hat k ,find a vect...

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  11. If vec(r )=x hat(i)+y hat(j)+x hat(k), find : (vec(r )xx hat(i)).(vec...

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  12. If vec(a) xx vec(b)= vec(c) xx vec(d) and vec(a) xx vec(c) =vec(b) xx ...

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  13. Find a vector of magnitude 7 units, which is perpendicular to two vect...

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  14. Find the area of the parallelogram whose adjacent sides are determined...

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  15. Find the area of a parallelogram whose adjacent sides are given by th...

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  16. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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  17. If vec(a)=2hat(i)-3hat(j)+4hat(k) and vec(b)=5hat(i)+hat(j)-hat(k) r...

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  18. If vec(a), vec(b), vec(c ) are the position vectors of the vecrtices A...

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  19. Largange's Identify. Prove that (vec(a)xx vec(b))^(2)=|vec(a)|^(2)|vec...

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  20. Show that vec(a)xx vec(b)=vec(a)xx vec(c ) does not imply vec(b)=vec(c...

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