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If the vectors vec a =2hati + 3hatj +6ha...

If the vectors `vec a =2hati + 3hatj +6hatk and vec b` are collinear and ` |vec b |=21, " then " vec b=`
(A) `pm 3(2hati + 3 hatj + 6 hatk)`
(B) `pm (2hati + 3hatj - 6 hatk)`
(C)`pm 21(2hati + 3 hatj + 6 hatk)`
(D)`pm 21(hati + hatj + hatk)`

A

`pm 3(2hati + 3 hatj + 6 hatk)`

B

`pm (2hati + 3hatj - 6 hatk)`

C

`pm 21(2hati + 3 hatj + 6 hatk)`

D

`pm 21(hati + hatj + hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A
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OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Chapter Test
  1. If the vectors vec a =2hati + 3hatj +6hatk and vec b are collinear and...

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  2. If vec a , vec b , vec c are three non-zero vectors (no two of which ...

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  3. Vectors vec aa n d vec b are non-collinear. Find for what value of...

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  4. If the diagonals of a parallelogram are 3 hati + hatj -2hatk and hati ...

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  5. If ABCD is a quadrilateral, then vec(BA) + vec(BC)+vec(CD) + vec(DA)=

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  6. If the points with position vectors 60hati+3hatj, 40 hati-8hatj and a ...

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  7. If ABCDEF is a regualr hexagon, then vec(AC) + vec(AD) + vec(EA) + ve...

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  8. ABCDEF is a regular hexagon. Find the vector vec AB + vec AC + vec AD ...

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  9. If P, Q , R are the mid-points of the sides AB, BC and CA of Delta AB...

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  10. If G is the centroid of Delta ABC and G' is the centroid of Delta A'...

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  11. In a quadrilateral ABCD, vec(AB) + vec(DC) =

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  12. If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) +...

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  13. If ABCD is a parallelogram, then vec(AC) - vec(BD) =

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  14. In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 ...

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  15. In a Delta ABC, if vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hat...

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  16. The position vectors of P and Q are respectively vec a and vec b . If ...

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  17. If the points whose position vectors are 2hati + hatj + hatk , 6hati -...

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  18. The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati ...

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  19. If OACB is a parallelogramwith vec(OC) = vec a and vec (AB) = vec b...

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  20. The position vectors of the points A, B, C are 2 hati + hatj - hatk , ...

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