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What is the angle between vecA and the r...

What is the angle between `vecA` and the rsultant of `(vecA_hatB)` and `(vecA-hatB)` ?

A

`0^(@)`

B

`tan^(-1)((A)/(B))`

C

`tan ^(-1)((B)/(A))`

D

`tan ^(-1)((A-B)/(A+B))`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecR=(vecA+veB)+(vecA-vecB)+(vecA-vecB)`
`vecR=2vecA`
Thus `vecR` and `vecA` are in same direction.
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ALLEN-BASIC MATHS-EXERCISE-1
  1. The unit vector along hati+hatj is :

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  2. What is the projection of vecA on vecB ?

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  3. What is the angle between vecA and the rsultant of (vecAhatB) and (vec...

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  4. The angle between vectors (hati+hatj) and (hatj+hatk) is :

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  5. The angle between two vectors given by (6hati+6hatk) and (7hati+4hatj+...

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  6. Which of the following vector identies is false ?

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  7. If the vectors (hati+hatj+hatk) and 3 hati form two sides of a triangl...

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  8. Which pair of the following forces will never give resultant force of ...

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  9. If hatn=ahati+bhatj is perpendicualr to the vector (hati+hatj), then t...

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  10. Two force each numerically equal to 10 dynes are acting as shown in th...

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  11. What is the component of (3hati+4hatj) along (hati+hatj) ?

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  12. If vecA+ vecB = vecC and A+B+C=0, then the angle between vecA and vec...

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  13. If vecA+veB is a unit vector along x-axis and vecA=hati-hatj+hatk, the...

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  14. What is the value of (vecA+vecB),(vecAxxvecB) ?

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  15. If vecAxxvecB=vec0 and vecBxxvecC=vec0, then the angle between vecA an...

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  16. The resultant of vecA and vecB is perpendicular to vecA. What is the a...

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  17. The resultant of vec(A)+vec(B) is vec(R )(1). On reversing the vector ...

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  18. Given that A=B. What is the angle between (vecA+vecB) and (vecA-vecB) ...

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  19. The angle between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hat...

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  20. The forces, which meet at one point but their line of action do not li...

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