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The two adjacent sides of a parallelogra...

The two adjacent sides of a parallelogram are `2 hat i-4 hat j-5 hat k` and `2 hat i+2 hat j+3 hat kdot` Find the two unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram.

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The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k and hat i-2 hat j-3 hat k . Find the unit vector parallel to one of its diagonals. Also, find its area.

The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k and hat i-2 hat j-3 hat k . Find the unit vector parallel to one of its diagonals. Also, find its area.

The adjacent sides of a parallelogram are hat(i) + 2 hat(j) + 3 hat(k) and 2 hat (i) - hat(j) + hat(k) . Find the unit vectors parallel to diagonals.

The adjacent sides of a parallelogram are represented by the vectors vec a= hat i+ hat j- hat k\ a n d\ vec b=-2 hat i+ hat j+2 hat kdot Find unit vectors parallel to the diagonals of the parallelogram.

Find the area of the parallelogram whose diagonals are : 4 hat i- hat j-3 hat k and -2 hat i+ hat j-2 hat k

Find the area of the parallelogram whose diagonals are: 3 hat i+4 hat j\ a n d\ hat i+ hat j+ hat k

Find the area of the parallelogram whose diagonals are: 4 hat i- hat j-3 hat k\ a n d-2 hat i+ hat j-2 hat k

Find the area of the parallelogram whose diagonals are: 2 hat i+ hat k\ a n d\ hat i+ hat j+ hat k

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find the area of the parallelogram determined by the vectors: hat i-3 hat j+ hat k\ a n d\ hat i+ hat j+ hat kdot

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the position vector of a point which divides the join of points w...

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  2. Write the number of vectors of unit length perpendicular to both the ...

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  3. The two adjacent sides of a parallelogram are 2 hat i-4 hat j-5 hat k ...

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  4. Show that the binary operation * on A=R-{-1} defined as a*b=a+b+a b fo...

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  5. Using integration find the area of the region "{"(x , y")":x^2+y^2lt=2...

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  6. An urn contains 3 white and 6 red balls. Four balls are drawn one by o...

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  7. Find the coordinate of the point P where the line through A(3,-4,-5) a...

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  8. Let f: N -> S be a function defined as f(x)=9x^2+6x-5. Show that f:N -...

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  9. A manufacturer produces two products A and B. Both the products are ...

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  10. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), find the values of (dy)/(d...

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  11. Find the position vector of a point which divides the join of points w...

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  12. Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find values of...

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  13. If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

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  14. Show that the equation of normal at any point t on the curve x=3cost-c...

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  15. If A is a square matrix such that A^2=I , then find the simplified val...

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  16. Find the maximum value of |[1, 1, 1],[ 1, 1+sintheta,1],[ 1, 1, 1+cost...

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  17. Find the vector equation of a plane which is at a distance of 5 units ...

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  18. Find : int(sqrt(x))/(sqrt(a^3-x^3))dxdot

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  19. Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < x < pi, is str...

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  20. Show that the altitude of the right circular cone of maximum volume th...

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