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Three vectors veca, vecb, vec c are suc...

Three vectors `veca, vecb, vec c` are such that `|veca|=3, |vecb|=2, |vec c|=6`, if each vector is perpendicular to the sum of the other two vectors, then the value of `|veca+vecb+vec c|` is -

A

`4sqrt(3)`

B

`5sqrt(2)`

C

14

D

7

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
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  2. The cartesian equation of a straight line is (x-3)/(4)=(y+2)/(5)=(z-...

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  3. Three vectors veca, vecb, vec c are such that |veca|=3, |vecb|=2, |ve...

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  4. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

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  5. The angle between the planes x-2y+2z=5 and 2x-3y+6z=11 is -

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  6. If |veca xx vecb|=3 and veca*vecb=4, then the value of |veca|^(2)|vec...

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  7. If the equation of a straight line is 6x-2=3y+1=2z-2, then direction c...

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  8. If y= sin (( pi)/(6)e^(xy)), then the value of (dy)/(dx) at x=0 is -

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  9. In the mean value theorem f(a+h)=f(a)+hf'(a+theta h) ( 0 lt theta lt 1...

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  10. If y=log("tan"(x)/(2))+sin^(-1)(cosx), then the value of (dy)/(dx) is...

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  11. Let f(x)=4x^(3)+x^(2)-4x-1. The equation f(x)=0 has roots 1 and (-(1)/...

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  12. At x=0 the function f(x)=x^3+1 has -

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  13. If y=(1)/(1+x+x^(2)+x^(3)), then the value of (d^(2)y)/(dx^(2)) at x=...

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  14. If y=sinx log("tan"(x)/(2)) then the value of (d^(2)y)/(dx^(2))+y is -

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  15. If t is a parameter and x=t^(2)+2t, y=t^(3)-3t, then the value of (d...

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  16. (d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

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  17. If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sqrt(1-t^2) then (dy)/(dx)=

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  18. The derivative of sin^(2)x w.r.t. cos^(2)x is -

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  19. If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)), then (dy)/(dx...

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  20. If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))), ...

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