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The vector area of the parallelogram who...

The vector area of the parallelogram whose adjacent sides `vec(i) + vec(j) + vec(k) and 2vec(i)-vec(j) + 2vec(k)` is

A

`3(vec(i) +vec(k))`

B

`3(vec(i) -vec(k))`

C

`2vec(i) + vec(j)-2vec(k)`

D

`-2vec(i)-vec(j)-2vec(k)`

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The correct Answer is:
B
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. If |vec(a)|=sqrt3, |vec(b)|=2, (vec(a), vec(b))= (pi)/(3), then the ar...

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  2. Observe the following statements: Assertion (A) : If vertices of a t...

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  3. The vector area of the parallelogram whose adjacent sides vec(i) + vec...

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  4. Arrange the following in ascending order of magnitude (A) Area of pa...

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  5. If ABCD is a quadrillateral such that vec(AB) = vec(i) + 2vec(j), vec(...

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  6. vec(OA)= vec(a), vec(OB)= 10vec(a) + 2vec(b), vec(OC)= vec(b) where O,...

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  7. The distance of the point B with P.V. vec(i) + 2vec(j) + 3vec(k) from ...

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  8. If vec(OA)= (1, 2, -5), vec(OB)= (-2, 2,1), vec(OC)= (4, 3, -1) then p...

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  9. The perpendicular distance of any point vec(a) on to the line vec(r )=...

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  10. Statement-I: The perpendicular distance from A(1, 4, -2) to the line v...

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  11. A Force vec(F)= 2vec(i) - lamda vec(j) + 5vec(k) is applied at the poi...

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  12. Equation of the plane containing the lines vec(r )= vec(i) + 2vec(j) -...

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  13. The vector equation of the line passing through the point vec(i)-2vec(...

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  14. If the position vectors of the vertices of DeltaABC" ""are" " "3hat(i...

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  15. If |vec(a)|=1, |vec(b)|=2 and (vec(a), vec(b))= 120^(@), then {(vec(a)...

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  16. If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(...

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  17. If vec(a) is a unit vector and vec(a) xx vec(i) = vec(j), then vec(a)....

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  18. If vec(a)= 2vec(i) + 3vec(j)- 5vec(k), vec(b)= m vec(i) + n vec(j) + 1...

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  19. If |overline(a)|=3,|overline(b)|=4 and the angle between overline(a) ...

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  20. Let a.b and c be non-zero vectors such that (a xx b) xx c = (1)/(3) |b...

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