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In a right angled triangle ABC, the hypo...

In a right angled triangle ABC, the hypotenuse AB =p, then `vec(AB).vec(AC) + vec(BC).vec(BA)+vec(CA).vec(CB)` is equal to:

A

`2p^(2)`

B

`p^(2)//2`

C

`p^(2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  2. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

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  3. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

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  4. The vector 3i-2j+k,i-3j+5k and 2i+j-4k form the sides of a triangle, T...

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  5. The three vectors 7i-11j+k, 5i+3j-2k and 12i-8j-k form

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  6. Values of a for which the points A, B, C with position vectors 2i - j+...

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  7. A unit vector a makes an angle pi//4 with z-axis and if a + i+j is a u...

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  8. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

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  9. If a = i+j-k,b=i-j+k and c is aunit vector perpendicular to the vector...

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  10. If a=-i+j+k and b =2i+0j+k, then the vector c satisfying the conditio...

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  11. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

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  12. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

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  13. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  14. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

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  15. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

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  16. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

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  17. The vectors a, b and c are of the same length and taken pairwise, they...

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  18. The vector a, b, c are equal in length and taken pairwise they mak equ...

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  19. The vector r satisfying the conditions that I. it is perrpendicular ...

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  20. The values of lambda for which the angle between the vectors a= lambd...

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