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If vec(A) = 3 hat(i) - 4 hat(j) and vec(...

If `vec(A) = 3 hat(i) - 4 hat(j)` and `vec(B) = 2 hat(i) + 16 hat(j)` then the magnitude and direction of `vec(A) + vec(B)` will be

A

`5 , tan^(-1) (12//5)`

B

`10 , tan^(-1) (5//12)`

C

`13 , tan^(-1) (12//5)`

D

`12 , tan^(-1) (5//12)`

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The correct Answer is:
C
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CP SINGH-VECTORS-Excercises
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  2. If a unit vector is represented by 0.5 hat(i) + 0.8 hat(j) + c hat(k) ...

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  3. If vec(A) = 3 hat(i) - 4 hat(j) and vec(B) = 2 hat(i) + 16 hat(j) then...

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  4. If a particle moves from the point A(1 , 2 , 3) to the point B( 4 , 6 ...

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  5. The unit vector parallel to the resultant of the vectors vec(A) = hat(...

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  6. If vec(A) = 3 hat(i) + 6 hat(j) - 2hat(k) , the directions of cosines ...

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  7. If a vector vec(A) make angles alpha , beta and gamma, respectively ,...

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  8. If the sum of two unit vectors is a unit vector,then find the magnitud...

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  9. What is the angle between vec(A) and the esultant of (vec(A) + vec(B))...

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  10. A paricle starting from the origin (0,0) moves in a straight line in (...

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  11. If for two vectors vec(A) and vec(B), sum (vec(A)+vec(B)) is perpendic...

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  12. If a vector 2 hat (i) + 3 hat(j) + 8 hat(k) is perpendicular to the ve...

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  13. Which of the following vectors is//are perpendicular to the vector 4 I...

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  14. If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i -...

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  15. Vectors which is perpendicular to ( a cos theta hat (i) + b sin theta ...

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  16. Two vectors vec A and vecB have equal magnitudes.If magnitude of (vecA...

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  17. The position vector of a particle is vec( r) = a cos omega t i + a sin...

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  18. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

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  19. The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k)...

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  20. If vec(A)xxvec(B)=vec(C ), then which of the following statements is w...

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