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If vec(a) = 2 hat(i) + 3hat(j) + 6hat(k)...

If `vec(a) = 2 hat(i) + 3hat(j) + 6hat(k) and vec(b) = 3hat(i) + 4hat(j)`, then `("projection of " vec(a) " on " vec(b))/("projection of" vec(b) " on " vec(a))`

A

`7//5`

B

`5//7`

C

`4//9`

D

None

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The correct Answer is:
A
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AAKASH SERIES-VECTORS-Practice Sheet (Exercise-III) (Multiplication of Vectors (Level-I)) (Straight Objective Type Questions)
  1. Find the component (projection) of (-I + j) in the direction of i

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  2. Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector ha...

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  3. If vec(a) = 2 hat(i) + 3hat(j) + 6hat(k) and vec(b) = 3hat(i) + 4hat(j...

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  4. A force of 2i + 3j + 2k N acts a body for 4s and produces a displaceme...

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  5. When a force (8i + 4j) newton displace a particle through (3i- 3j) met...

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  6. The cross product of the vectors (2i - 3j + 4k) and (I + 4j -5k) is

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  7. The scalar and vector products of two vectors are 48sqrt(3) and 144 re...

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  8. What is the condition for the vectors 2i + 3j - 4k and 3i - aj + bk to...

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  9. a, b are the magntidues of vectors vec(a) " & " vec(b). If vec(a) xx ...

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  10. If |vec(A)| = 4N, |vec(B)| = 3N the value of |vec(A) xx vec(B)|^(2) + ...

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  11. Find the angle between the vectors (-2i + 2j) and 3i

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  12. Find the value of (vec(a) + vec(b)) xx (vec(a) - vec(b))=

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  13. A Vector vec(P) points vertically downwards and another vector vec(Q) ...

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  14. The angle between (bar(A) xx bar(B)) and (bar(B) xx bar(A)) is (in rad...

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  15. Choose the false statement

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  16. (vec(a) - vec(b)) xx (vec(a) + vec(b)) is equal to

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  17. The vector vec(a) xx (vec(b) xx vec(a)) is

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  18. If vec(C ) = vec(A) - vec(B), then:

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  19. If vec(A) and vec(B) are two vectors, which of the following relations...

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  20. The adjacent sides of a parallelogram is represented by vectors 2 hat(...

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