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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)))`

Text Solution

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A
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
  1. Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is

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  2. A particle moves in the x-y plane under the action of a force vecF suc...

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  3. In a triangle ABC, the sides AB and AC represented by the vector 3hat(...

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  4. In a clockwise system :-

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  5. For vectors vec(A) and vec(B) making an angle theta which one of the f...

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  6. A vector vec(A) points verically upward and vec(B) points towards nort...

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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 vecomega = 3 hati - 4hatj + 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 F = 4 hat i + 5 hat j - 6 hat k at (2,0,-...

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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. Two particles A and B are moving as shown in the figure. Their total a...

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

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  14. Two adjacent sides of a parallelogram are respectively by the two vect...

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

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

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

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

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

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

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