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If `vec(a), vec(b), vec(c )` are unit vectors such that `vec(a).vec(b)= vec(a).vec(c )=0 and (vec(b), vec(c ))= (pi)/(6)`, then `vec(a)`=

A

`+- (vec(a) xx vec(c ))`

B

`+- 2(vec(a) xx vec(c ))`

C

`+- (vec(b) xx vec( c))`

D

`+- 2(vec(b) xx vec(c ))`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. Statement-I: If |vec(a).vec(b)|= |vec(a) xx vec(b)| then (vec(a), vec(...

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  2. If |vec(a)|= |vec(b)| =1 and |vec(a) xx vec(b)|= vec(a).vec(b), then |...

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  3. If vec(a), vec(b), vec(c ) are unit vectors such that vec(a).vec(b)= v...

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  4. If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx v...

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  5. If vec(a).vec(i)=4, then (vec(a) . vec(j))xx (2vec(j)-3vec(k))=

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  6. The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and f...

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  7. A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j...

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  8. Match the following

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  9. p vec(a) is a vector perpendicular to vec(i) and vec(j) whose magnitud...

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  10. If vec(a) + 2vec(b) + 4 vec(c )= vec(0), then vec(a) xx vec(b) + vec(b...

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  11. If vec(a) xx vec(b) = vec(b) xx vec(c )= vec(c )xx vec(a), where vec(a...

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  12. If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3, then |v...

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  13. If (vec(a) xx vec(b))^(2) + (vec(a).vec(b))^(2)=144 and |vec(a)|=4" th...

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

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

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

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

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

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

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

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