Home
Class 12
MATHS
Let vec a = 2hati - hatj + 2hatk and vec...

Let `vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk`. Let a vector `vecv` be in the plane containing `veca and vec b.` If `vec v` is perpendicular to the vector `3 hati + 2hatj - hatk` and its projection on `vec a` is 19 units, then `abs(2vec v)^2` is equal to _________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Let vecx be a vector in the plane containing vectors veca=2hati-hatj+hatk and vecb=hati+2hatj-hatk . If the vector vecx is perpendicular to (3hati+2hatj-hatk) and its projection on veca is (17sqrt(6))/(2) , then the value of |vecx|^(2) is equal to __________.

If two vectors are given as veca = hati - hatj + 2hatk and vecb = hati + 2hatj+hatk , the unit vector perpendicular to both vec a and vec b is

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to

Let veca=2hati-3hatj and vecb=3hati+2hatj. Is |veca|=|vecb|? Are the vectors vec a and vec b equal?

Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk and vecc= hati+hatj-hatk A vector in the plane of veca and vecb whose projections on vecc is 1//sqrt3 is

Let veca = hati - 2 hatj + 2hatk and vec b = 2 hati - hatj + hatk be two vectors. If vec c is a vector such that vecb xx vec c = vec b xx vec a and vec c vec a = 1 , then vec c vec b is equal to :

If vec A=hati +7hatj +hatk and vec B =2 hati+3hatj +4hatk then the component of vec A along vec B is

The vector vec(A)=6hati+9hatj-3hatkand vecB=2hati+3hatj-hatk are

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions
  1. Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk. Let a...

    Text Solution

    |

  2. If p and q are positive real numbers such that p^2+""q^2=""1 , t...

    Text Solution

    |

  3. A value of C for which the conclusion of Mean Value Theorem holds f...

    Text Solution

    |

  4. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  5. How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...

    Text Solution

    |

  6. Suppose the cube x^3""p x""+""q has three distinct real roots wh...

    Text Solution

    |

  7. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  8. The shortest distance between the line yx=1 and the curve x=y^2 is ...

    Text Solution

    |

  9. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

    Text Solution

    |

  10. Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...

    Text Solution

    |

  11. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  12. The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...

    Text Solution

    |

  13. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |

  15. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  16. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  17. The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...

    Text Solution

    |

  18. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  19. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  20. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  21. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |