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If O is origin and C is the mid - point ...

If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . Then value of OC is

A

`hati+hatj`

B

`hati-hatj`

C

`-hati+hatj`

D

`-hati-hatj`

Text Solution

Verified by Experts

The correct Answer is:
C
Coordinate of C is `((2-4)/(2),(-1+3)/(2))=(-1,1)`
`thereforeOC=-hati+hatj`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If a and b are position vector of two points A,B and C divides AB in r...

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  2. Find the position vector of the point which divides the join of the po...

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  3. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  4. If the position vectors of the points A and B are hati+3hatj-hatk and ...

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  5. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

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  6. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

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  7. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

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  8. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  9. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

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  10. If the points a+b,a-b and a+kb be collinear, then k is equal to

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  11. If the position vectors of A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

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  12. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  13. Theorem 1: If a and b are two non collinear vectors; then every vector...

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  14. Four non zero vectors will always be a. linearly dependent b. linea...

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  15. The vectors a,b and a+b are

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  16. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  17. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

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  18. The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...

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  19. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

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  20. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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