Home
Class 12
MATHS
If vecr*hati=2vecr*hatj=4hatr*hatk and |...

If `vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84),` then the value of `vecr*(2hati-3hatj+hatk)` may be

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If vecomega=2hati-3hatj+4hatk and vecr=2hati-3hatj+2hatk then the linear velocity is

If the equation of the plane through the line of interesection of vecr.(2hati-3hatj+hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati+hatj+hatk)+8=0 is vecr.(5hati-2hatj-12hatk)=lamda Then lamda=

Find the distance of the point (-1,-5,-10) from the point of the intersection of the line vecr = 2hati-2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) = 5 .

Find the points of intersection of the line vecr = 2hati - hatj + 2hatk + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

Equation of a plane passing through the intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2 and passing through the point (hati+2hatj-hatk) is :

Find the equation of the plane through the point hati+4hatj-2hatk and perpendicular to the line of intersection of the planes vecr.(hati+hatj+hatk)=10 and vecr.(2hati-hatj+3hatk)=18.

The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) and the plane vecr.(hati|5hatj|hatk) = 5 is :

Find the value of 'm' for which the line vecr= (hati+2hatj-hatk)+lambda(2hati+hatj+hatk) is parallel to the plane vecr.(3hati-2hatj+mhatk) = 5 .

NTA MOCK TESTS-JEE MOCK TEST 15-MCQS (MATH)
  1. If x, y and z are in AP and tan^(-1) x, tan^(-1) y " and " tan^(-1) z ...

    Text Solution

    |

  2. If vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84), then the value...

    Text Solution

    |

  3. If A={x in R:|x|lt2} and B={x in R:|x-2|ge3}, then

    Text Solution

    |

  4. On which of the following intervals is the function x^(100)+sinx-1 dec...

    Text Solution

    |

  5. The area bounded by the graph y=[x-3], the X-axis and the lines x=-2 a...

    Text Solution

    |

  6. underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |

  7. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

    Text Solution

    |

  8. The sum of the squares of deviation of 10 observations from their mean...

    Text Solution

    |

  9. 2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x...

    Text Solution

    |

  10. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  11. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  12. Which of the following is logically equivalent to ~(~pto q)?

    Text Solution

    |

  13. The number of different terms in the expansion of (1-x)^(201)(1+x+x^(2...

    Text Solution

    |

  14. The angle of elevation of an object on a hill is observed from a certa...

    Text Solution

    |

  15. If alpha,beta are the roots of the equation x^(2)-3x+4=0, then the equ...

    Text Solution

    |

  16. If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...

    Text Solution

    |

  17. If z be a complex number satisfying |z-4+8i|=4, then the least and the...

    Text Solution

    |

  18. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

    Text Solution

    |

  19. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  20. The number of value of x in [0,2] at which f(x)=|x-1/2|+|x-1|+tan x is...

    Text Solution

    |