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Determine the area of the parallelogram ...

Determine the area of the parallelogram whose adjacent sides are `2 hat i and 3 hat j`.

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Determine the area of the parallelogram whose adjacent sides are 3 hat i + hat j+4 hat k and hat i - hat j + hat k .

Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

determine the area of the parallelogram whose adjacent sides are : hati+hatj+3hatk and 3hati+2hatj+hatk .

The area of the parallelogram whose adjacent sides are hat i+hat k and 2hat i+ hatj +hat k ts

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

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

Find the area of parallelogram whose adjacent sides are represented by the vectors 3hat(i)+hat(j)-2hat(k) and hat(i)-2hat(j)-hat(k) .

Find the area of the parallelogram whose diagonals are a = 3 hat i + hat j - 2 hat k and hat b = hat i - 3 hat j + 4 hat k .

Prove that (vec a-vec b)xx(vec a+vec b)=2(vec axxvec b) give a geometrical interpretation to it. Hence find the area of the parallelogram whose diagonals are the vectors vec a=3 hat i+hat j-2 hat k and vec b= hat i-3 hat j + 4 hat k .

Find the area of the parallelogram having two adjacent sides OA and OB where O is the origin and the position vectors of A and B are respectively vec a= hat i+ 2 hat j+ 3 hat k , vec b= -3 hat i- 2 hat j+ hat k .

MODERN PUBLICATION-VECTORS-Exercise
  1. Find a vector of magnitude 9, which is perpendicular to both the vecto...

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  2. If vec a and vec b are unit vectors and theta is the angle between the...

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  3. Determine the area of the parallelogram whose adjacent sides are 2 hat...

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  4. determine the area of the parallelogram whose adjacent sides are : 2ha...

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  5. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

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  6. determine the area of the parallelogram whose adjacent sides are : hat...

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  7. determine the area of the parallelogram whose adjacent sides are : hat...

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  8. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

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  9. Find the area of the quadrilateral whose diagonals are given by 3hat...

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  10. Show that the area of the parallelogram with diagonals veca and vecb, ...

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  11. Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2).

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  12. Prove that |vecaxxvecb|/(veca*vecb)= tan theta, where theta is the ang...

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  13. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

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  14. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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  15. Find |veca*vecb|, if |veca|=5,|vecb|=13 and |vecaxxvecb|=25.

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  16. If |veca|=13,|vecb|=5 and veca*vecb=60, then find |vecaxxvecb|.

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  17. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

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  18. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  19. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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  20. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

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