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If the position vector of a point A is `vec a + 2 vec b and vec a ` divides AB in the ratio `2:3`, then the position vector of B, is

A

`2a-b`

B

`b-2a`

C

`a-3b`

D

b

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

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  2. The position vector of A and B are a and b respectively, then the pos...

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  3. If the position vector of a point A is vec a + 2 vec b and vec a divi...

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  4. theta is the angle between two vectors a and b then a. b le 0 only if

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  5. If a be a non-zero vector, then which of the following is correct ?

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  6. a and b are two non-zero vectors, then ( a + b). (a-b) is equal to

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  7. a.b =0 implies only

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  8. If a, b, c be three non-zero vectors, then the equation a. b = a. c ...

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  9. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

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  10. If [I, j, k] be a set of orthogonal unit vectors, then fill up the bla...

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  11. If theta be the angle between the vectors 4(i-k) and i+j+k, then theta...

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  12. If theta be the angle between the vectors i+jandj+k, then theta is

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  13. The angle between the vectors 2i+3j+k and 2i-j-k is

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  14. If a and b are two unit vectors, then a xx b is a unit vector if ........

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  15. If [ i,j,k] be orthogonal set of unit vectors, then fill in the blanks...

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  16. [abc] is the scalar triple product of three vectors a, b and c then [a...

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  17. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

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  18. a xx (b xx c) is equal to

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  19. u = a xx (b xx c) + b xx (c xx a) + c xx (a xxb) then

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  20. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

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