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If the position vectors of the points A, B, C, D are `hati+hatj+hatk, 2hati+5hatj, 3hati +2hatj-3hatk` and `hati-6hatj-hatk` respectively, then the angle between the vectors `vec(AB)` and `vec(CD)` is -

A

`( pi)/(3)`

B

`pi`

C

`(pi)/(4)`

D

`(2pi)/(3)`

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. A relation R is defined on the set of integers Z as follows: R{(x,y...

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  2. The projection of the vector vec alpha=2hati+3hatj+2hatk on the vector...

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  3. If the position vectors of the points A, B, C, D are hati+hatj+hatk,...

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  4. Let OP = 21 where O is the origin, if the direction radios of OP are p...

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  5. The vector equation of the line passing through the point (3, -1, 2) a...

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  6. The angle between the pair of lines (x-2)/(1)=(y+3)/(-2)=(z-4)/(2) a...

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  7. The cartesian equation of a straight line is (x-3)/(4)=(y+2)/(5)=(z-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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