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Set the following vectors in the increas...

Set the following vectors in the increasing order to their magnitude.
(i) `3hati+4hatj` (ii) `2hati+4hatj+6hatk` (iii) `2hati+2hatj+2hatk`

A

a,b,c

B

c,a,b

C

a,c,b

D

b,c,a

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The correct Answer is:
B
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Find a unit vector in the diection of the vector. (i) (3hati + 4hatj - 5hatk) , (ii) (3hati - 2hatj + 6hatk) (iii) (hati + hatk) , (iv) (2hati + hatj + 2hatk)

Calculate the values of (i) hatj. (2hati - 3hatj +hatk) and (ii) (2hati - hatj) (3hati + hatk)

Find the angles between the following pairs of vectors: (i) vec(A) = hati + hatj +hatk and vec(B) =- 2hati - hatj - 2 hatk . (ii) vec(A) =- 2hati +2hatj - hatk and vec(B) = 3hati + 6 hatj +2 hatk (iii) vec(A) = 4 hati +6 hatj - 3 hatk and vec(B) =- 2hati - 5hatj +7 hatk

Fina a unit vector in the direaction of the resultant of the vectors hati - hatj + 3hatk, 2 hati + hatj- 2 hatk and hati + 2 hatj- 2 hatk.

Find the angle between the following vectors : (i) veca = 2hati-6hatj+3hatk and vecb = hati+2hatj-2hatk (ii) veca=6hati+3hatj-2hatk and vecb=4hati-2hatj+9hatk

Prove th the following sets of three points are collinear: 2hati+hatj-hatk, 3hati-2hatj+hatk and hati+4hatj-3hatk

Determine the sine of the angle between the vectors 3 hati +hatj +2hatk and 2hati - 2hatj +4hatk .

Find the angle between the following pairs of lines : (i) vec(r) = 2 hati - 5 hatj + hatk + lambda (3 hati + 2 hatj + 6 hatk ) and vec(r) = 7 hati - 6 hatk + mu (hati + 2 hatj + 2 hatk) (ii) vec(r) = 3 hati + hatj - 2 hatk + lambda (hati - hatj - 2 hatk ) and vec(r) = 2 hati - hatj - 56 hatk + mu (3 hati - 5 hatj - 4 hatk) .

NARAYNA-VECTORS-C.U.Q
  1. Choose the false statement.

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  2. Three vectors satisfy the relation A.B =0 and A.C=0 then A is paralle...

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  3. Let vecF be a force acting on a particle having positon vector vecr. L...

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  4. (vecAxxvecB)+(vecBxxvecA) is equal to

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  5. If vecC=vecAxxvecB, then vecC is

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  6. If vecA and vecB are two vectors, then which of the following is wrong...

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  7. The angle between (vecAxxvecB) and (vecBxxvecA) is (in radian)

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  8. If none of the vectors vecA,vecB and vecC are zero and if vecAxxvecB=0...

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  9. Choose th false statement

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  10. If vecA,vecB and vecC are coplanar vectors, then

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  11. If vecA along North and vecB vertically upward then the directions of ...

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  12. The angle between (vecA+vecB)&(vecAxxvecB)

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  13. The position vector vecr and linear momentum vecp and vecr=hati and ve...

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  14. The vector area of triangle whose sides are veca,vecb,vecc is

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  15. Set the following vectors in the increasing order to their magnitude. ...

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  16. Arrangement the vectors additions so that their magnitude are in the i...

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  17. Arrange the vector subtractions so that their magnitude are in decreas...

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  18. Set the angles made by following vectors with x-axis in the increasing...

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  19. Arrange the dot products in increasing order (a) vecA and vecB are...

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  20. Arrange the magnitude of cross products in the decreasing order. (a)...

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