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Find the area of the parallelogram whose...

Find the area of the parallelogram whose adjacent sides are `bar(a) = 2 bar(j) - bar(k), bar(b) = -bar(i) + bar(k)`.

A

`(bar(i)+bar(k))/sqrt(2), (bar(i)-bar(j))/sqrt(2)`

B

`(bar(i)-bar(k))/sqrt(2), bar(j)`

C

`(bar(i)+bar(k))/sqrt(2)`

D

`(bar(i)-bar(k))/sqrt(2), bar(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
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  2. If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)...

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  3. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

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  4. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

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  5. Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C ...

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  6. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

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  7. When a right handed rectangular cartesian system oxyz is rotated about...

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  8. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  9. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  10. The vector equation to the line through the point (2, 3, 1) and parall...

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  11. Find the vector equation of the line passing through the points 2bar(i...

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  12. Cartesian equation of the line passing through the points bar(a)=2bar(...

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  13. The cartesian equation of the line passing through the points bar(a)=(...

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  14. Find the vector equation of the line passing through the points bar(i)...

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  15. The vector equation of the plane passing through the point 2bar(i)+2ba...

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  16. The vector equation of the plane passing through the origin and the po...

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  17. If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar...

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  18. The vector equation of the line passing through the point 2bar(i)+bar(...

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  19. If A(bar(i)+2bar(j)+3bar(k)), B(-bar(i)-bar(j)+8bar(k)), C(-4bar(i)+4b...

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  20. A point on the line bar(r)=(1-t)(2bar(i)+3bar(j)+4bar(k))+t(3bar(i)-...

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