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In a triangle ABC, the sides AB and AC r...

In a triangle ABC, the sides AB and AC represented by the vector `3hat(i)+hat(j)+hat(k)and hat(i)+2hat(j)+hat(k)` respectively. Calcutate the angle `angleABC`.

A

`cos^(-1)""(sqrt(5/(11)))`

B

`cos^(-1)""(sqrt(6/(11)))`

C

`90^(@)-cos^(-1)""(sqrt(5/(11)))`

D

`180^(@)-cos^(-1)""(sqrt(5/(11)))`

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A
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
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  7. Which of the following relation is not correct?

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  8. What is the value of linear velocity. If vec(omega)=3hat(i)-4hat(j)+ha...

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  9. If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...

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  10. The moment of the force, vec(A)xxvec(B)=vec(B)xxvec(A), at (2,0,-3), a...

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  11. A force vec F = prop hat i + 3 hat j + 6 hat k is acting at a point ve...

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  12. The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) +...

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  14. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  15. The component of a vector r along X-axis will have maximum value if

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  16. If |vecA xx vecB| = sqrt3 vecA *vecB, then the value of |vecA + vecB| ...

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  17. Sum of magitude of two fores is 25 N. The resultant of these forces is...

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  18. Consider a particle on which constant forces vec(F) = hat(i) + 2hat(j)...

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  19. A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) ...

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  20. A force F=-K(yhati+xhatj) (where K is a positive constant) acts on a p...

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