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p vec(a) is a vector perpendicular to ve...

p `vec(a)` is a vector perpendicular to `vec(i) and vec(j)` whose magnitude is 2 where 'p' is a scalar, then

A

`vec(a) = vec(k) and |vec(a)|=p`

B

`vec(a) = (2)/(p) vec(k) and |vec(a)| = (2)/(p)`

C

`vec(a)= 2p vec(k) and |vec(a)|= 2p`

D

`vec(a) =p vec(k) and |vec(a)|= (p)/(2)`

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The correct Answer is:
B
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j...

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  2. Match the following

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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