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If vecr(1)=hati+2hatj-2hatk and vecr(2)=...

If `vecr_(1)=hati+2hatj-2hatk` and `vecr_(2)=3hatj-4hatk`, then the angle between `vecr_(1)` and `vecr_(2)` is -

A

`"cos"^(-1)(4)/(5)`

B

`"cos"^(-1)(14)/(15)`

C

`"cos"^(-1)(5)/(13)`

D

`"cos"^(-1)(12)/(13)`

Text Solution

Verified by Experts

The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
  1. The acute angle between the z-axis and the straight line joining th...

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  2. Let veca=hati+hatj+2hatk, vecb=2hati+2hatj, vec c=3hati+5hatj-2hatk a...

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  3. If vecr(1)=hati+2hatj-2hatk and vecr(2)=3hatj-4hatk, then the angle be...

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  4. A unit vector which is perpendicular to both the vectors veca=hati-ha...

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  5. If |veca|=7,|vecb|=sqrt(26) and |veca xx vecb|=35, then the value of v...

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  6. The equation of any plane parallel to y -axis is -

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  7. If |vecb|=4 and (veca+vecb)*(veca-vecb)=9, then the value |veca| is -

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  8. If the line vecr=(2hati-hatj+3hatk)+lambda(2hati+hatj+2hatk) is paral...

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  9. If the equation ax^(4)+bx^(3)+cx^(2)+kx=0 has a root alpha gt 0, the...

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  10. The chord of the curve ax^(2)+bx+c=0, joining the points x=p and x=q o...

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  11. The value of lim(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x)) is -

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  12. If f(x)=log(x)(log(e)x), then the value of f'(e ) is -

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  13. If y=(cos^(-1)x)^(2), then the value of (1-x^(2))y(2)-xy(1) is -

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  14. If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(z), then the value of (dt)/(dx...

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  15. If y=a^(x)b^(2x-1), then the value of (d^(2)y)/(dx^(2)) is -

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  16. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo))), then the value of (dy)/(d...

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  17. If y=log(a)x+log(x)a+log(x)x+log(a)a, then the value of (dy)/(dx) is ...

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  18. If f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)log(1+(x^(2))/(3))),"when "x ne...

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  19. If (x+y)^(m+n)=x^(m)y^(n), then the value of (dy)/(dx) is -

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  20. If x+y=e^(x-y) then the value of (d^(2)y)/(dx^(2)) is -

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