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

The vectors a,b and a+b are

A

collinear

B

coplanar

C

non-coplanar

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
These are coplanar because `1(a)+1(b)=a+b`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  3. The vectors a,b and a+b are

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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