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If a=(2,5) and b=(1,4), then vector para...

If `a=(2,5) and b=(1,4)`, then vector parallel to (a+b) is

A

(3,5)

B

(1,1)

C

(1,3)

D

(8,5)

Text Solution

Verified by Experts

The correct Answer is:
C
`a+b=3hati+9hatjj=3(hati+3hatj)`. Hence, it is parallel to (1,3).
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. The unit vector parallel to the resultant vector of 2hati+4hatj-5hatk ...

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  2. If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj, then the un...

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  3. If a=(2,5) and b=(1,4), then vector parallel to (a+b) is

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  4. In the DeltaABC,AB=a,AC=c and BC=b, then

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  5. If O is origin annd the position vector fo A is 4hati+5hatj, then unit...

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  6. The position vectors of the points A,B and C are hati+2hatj-hatk,hati+...

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  7. The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-...

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  8. If position vector of points A,B and C are respectively hati,hatj, and...

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  9. The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+...

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  10. If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2...

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  11. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

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  12. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

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  13. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

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  14. The direction cosines of the vector 3hati-4hatj+5hatk are

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  15. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

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  16. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

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  17. If a,b and c are the position vectors of the vertices A,B and C of the...

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  18. If a and b are position vector of two points A,B and C divides AB in r...

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

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

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