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If `vec(i), vec(j), vec(k)` are unit orthonormal vectors and `vec(a)` is a vector of magnitude 2 units satisfying `vec(a) xx vec(i)= vec(j)`, then `vec(a).vec(i)`=

A

`+- sqrt3`

B

`+-sqrt2`

C

0

D

1

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A
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. If (vec(a) xx vec(b))^(2) + (vec(a).vec(b))^(2)=144 and |vec(a)|=4" th...

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  2. If vec(p)= vec(a)-vec(b), vec(q)= vec(a) + vec(b), |vec(a)|= |vec(b)|=...

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  3. If vec(i), vec(j), vec(k) are unit orthonormal vectors and vec(a) is a...

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  4. Assertion (A): Let vec(a) = a(1) vec(i) + a(2) vec(j) + a(3) vec(k). T...

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  5. If vec(a), vec(b) are not perpendicular to each other and vec(r ) xx v...

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  6. If vec(r ) xx vec(a) = vec(b) xx vec(a), vec(r ) xx vec(b) = vec(a) xx...

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  7. Let vec(a)= vec(i) + vec(j), vec(b)= 2vec(j)-vec(k). If vec(r ) xx vec...

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  8. If vec(a) = vec(i) + 2vec(j) - 3vec(k), vec(b)= 2vec(i) + vec(j) - vec...

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  9. If |vec(a)|=sqrt3, |vec(b)|=2, (vec(a), vec(b))= (pi)/(3), then the ar...

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

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

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

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

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

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

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

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

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

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

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

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