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Calculate the area of a paralleleogram w...

Calculate the area of a paralleleogram whose two adjacent sides are formed by the vectors
` vec A =3 hat I + 5 hat j and vec B =- 3 hat I + 7 hat j`.

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Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the area of the triangle whose adjacent sides are determined by the vectors vec(a)=(-2 hat(i)-5 hat(k)) and vec(b)= ( hat(i)- 2 hat(j) - hat(k)) .

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SL ARORA-Motion in a Plane-Example
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  2. Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 h...

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  3. Calculate the area of a paralleleogram whose two adjacent sides are fo...

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  4. If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...

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  5. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

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  7. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

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  10. For any to vectors vec A and vec B, prove that | vec A xx vec B|^2 ...

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  11. Find vec(A).vec(B) if |vec(A)| = 2, |vec(B)| = 5 and |vec(A) xx vec(B)...

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  12. Find the area of the rriangle formed by the tips of the vectors, ve...

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  13. Find the magnitude and direction cosines of the torque about the point...

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  14. Find the area of parallelogram whose diagonals are the vectors 3 hat i...

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  15. In any triangle ABC, prove that a sin A-b sin B -=c sin (A-B).

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  17. If vec A=hat i + 2 hat j -3 hat k, vec B =2 hat I -hat j + hat k and...

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  18. A cyclist moves along a circular path of radius 70 m. If he completes ...

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