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In the figure, a vectors x satisfies the...

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

A

`2a+b+c`

B

`a+2b+c`

C

`a+b+2c`

D

`a+b+c`

Text Solution

Verified by Experts

The correct Answer is:
B
`v=b+c`
w=b+a
we have, `x=v+w=a+2b+c `
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  2. The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...

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

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

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  5. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  6. Let a,b and c be three unit vectors such that 3a+4b+5c=0. Then which o...

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  7. If A, B, C, D and E are five coplanar points, then the value of bar(D...

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  8. If the vectors vec a and vec bare linearly independent and satisfying ...

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  9. The unit vector bisecting vec(OY) and vec(OZ) is

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  10. A line passes through the points whose position vectors are hati+hatj-...

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  11. If D, E and F be the middle points of the sides BC,CA and AB of the De...

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  12. If P and Q are the middle points of the sides BC and CD of the paralle...

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  13. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

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  14. A and B are two points. The position vector of A is 6b-2a. A point P ...

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  15. If three points A,B and C are collinear, whose position vectors are ha...

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  16. If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC res...

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  17. The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj ...

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  18. If A, B, C are the vertices of a triangle whose position vectros are v...

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  19. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

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  20. ABCDE is a pentagon. Forces AB,AE,DC and ED act at a point. Which forc...

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