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Find the area of the parallelogram whose...

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`

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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 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)) .

Find the unit vector in the direction of diagonal of the parallelogram whose sides are given by the vectors vec a= 2 hat i- hat j-3hat k', vec b=5 hat i+2hat j- hatk

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 .

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 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 .

Find |vec a xx vec b| , if vec a = 2hat i-5 hat j+3 hat k and vec b = hat i-2 hat j +2 hat k .

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Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = -3hat i+7 hat j + 5 hat k, vec b=-5 hat i +7 hat j- 3 hat k and vec c = 7 hat i -5 hat j -3 hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If either vec a = vec 0 or vec b = vec0, then vec a xx vecb = vec 0. I...

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  2. Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) a...

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

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  4. Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqr...

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  5. Area of a rectangle having vertices A [- hat i +1/2 hat j +4 hat k], B...

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  6. Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 h...

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  7. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

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  8. Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and ...

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  9. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  10. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  11. Show that the four points with position vectors 4hati+8 hat j +12hat k...

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  12. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

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  13. If a,b and c are coplanar show "[a+b b+c c+a]" are coplanar.

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  14. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  15. Find the scalar components and magnitude of the vector joining the poi...

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  16. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  17. If vec a= vec b + vec c then is it true that |vec a|= |vec b|+ |vec c|...

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  18. Find the value of x for which x (hat i +hat j +hat k) is a unit vector...

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  19. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  20. If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c...

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