Home
Class 12
MATHS
If (vec a times vec b)^2 + (vec a cdot v...

If `(vec a times vec b)^2 + (vec a cdot vec b)^2=144`, write the value of `ab`.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2017

    MODERN PUBLICATION|Exercise EXERCISE|46 Videos
  • SAMPLE PAPER 2019

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

If vec a , vec b , vec c are unit vectors and vec a + vec b + vec c = 0 then the evaluate vec a. vec b + vec b.vec c + vec c.vec a .

If (vec a + vec b).(vec a - vec b) = 0 then what is the relation between vec a and vec b ?

If vec(a)= vec(b) + vec( c) , then write the value of vec(a).(vec(b) xx vec(c ))

Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2) .

MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
  1. A balloon is pumped at the rate of 2 cm^3// minute. Write the rate of ...

    Text Solution

    |

  2. If p and q are respectively degree and order of the differential equat...

    Text Solution

    |

  3. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

    Text Solution

    |

  4. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

    Text Solution

    |

  5. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

    Text Solution

    |

  6. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  7. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  8. Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...

    Text Solution

    |

  9. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

    Text Solution

    |

  10. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

    Text Solution

    |

  11. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

    Text Solution

    |

  12. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

    Text Solution

    |

  13. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  14. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

    Text Solution

    |

  15. Evaluate int (dx)/((x+1)sqrt(1-x^2))

    Text Solution

    |

  16. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

    Text Solution

    |

  17. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  18. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  19. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

    Text Solution

    |

  20. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |