Home
Class 12
MATHS
A vector veca has components 3p and 1 wi...

A vector `veca` has components 3p and 1 with rrespect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, `veca` has components p+1 and `sqrt10` then a value of p is equal to :

A

-1

B

`4/5`

C

1

D

`- 5/4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section A|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

The vector vec a has the components 2p and 1 w.r.t.a rectangular Cartesian system.This system is rotated through a certain angel about the origin in the counterclockwise sense.If,with respect to a new system,vec a has components (p+1) and 1, then p is equal to a.-4 b.-1/3 c.1 d.2

The vector has components 2p and 1 with respect to a rectangular Cartesian system. The axes rotated through system. The axes are rotated through an a about the origin in the anticlockwise sense. If the vector has components (p+1) and 1 unit respect to the new system, then

A vector has components p and 1 with respect to a rectangular Cartesian system. The axes are rotted through an angel alphaabout the origin the anticlockwise sense. Statement 1: IF the vector has component p+2and 1 with respect to the new system, then p=-1. Statement 2: Magnitude of the original vector and new vector remains the same.

veca has components 3P and 1 in rectangular cartesian system. veca is rotated counterclockwise about origin such that its components now become sqrt10 and P+1 then a value of "P" is

When a right handed rectangular Cartesian system OXYZ is rotated about the z-axis through an angle pi/4 in the counter-clockwise, direction it is found that a vector veca has the component 2sqrt(3), 3sqrt(2) and 4.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS SECTION A
  1. Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...

    Text Solution

    |

  2. If lim(xto0)(sin^(-1)x-tan^(-1)x)/(3x^3) is equal to L, then the value...

    Text Solution

    |

  3. A vector veca has components 3p and 1 with rrespect to a rectangular c...

    Text Solution

    |

  4. If alpha,beta are natural numbers such that 100^(alpha)-199beta=(100)(...

    Text Solution

    |

  5. If the equation aabsz^2+bar(baralphaz+alphabarz)+d=0 represents a ci...

    Text Solution

    |

  6. The differential equation satisfied by the system of parabolas y^2=4a(...

    Text Solution

    |

  7. Let (1+x+2x^2)^20=a0+a1x+a2x^2+....+a40x^40. " Then, "a1+a3+a5.....+a3...

    Text Solution

    |

  8. The sum of all the 4-digit distinct numbers that can be formed with th...

    Text Solution

    |

  9. If the functions are defined as f(x)=sqrtx and g(x) = sqrt(1-x), then ...

    Text Solution

    |

  10. For the four circles M, N, O and P, following four equations are given...

    Text Solution

    |

  11. If x, y, z are in arithmetic progression with common difference d, x n...

    Text Solution

    |

  12. Tha value of the limit lim(theta to 0) (tan(pi cos^(2)theta))/(sin (2p...

    Text Solution

    |

  13. Let S(1), S(2) and S(3) be three sets defined as S(1)={z in CC:|z-1|...

    Text Solution

    |

  14. Let L be a tangent line to the parabola y^(2)=4x - 20 at (6, 2). If L ...

    Text Solution

    |

  15. Let the tangent to the circle x^(2) + y^(2) = 25 at the point R(3, 4) ...

    Text Solution

    |

  16. If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior ...

    Text Solution

    |

  17. Let O be the origin. Let vec(OP) = x hati+y hati-hatk and vec(OQ) = -h...

    Text Solution

    |

  18. If the curve y=y(x) is the solution of the differential equation 2(x^...

    Text Solution

    |

  19. The value of lim(n to oo) ([r]+[2r] +….+[nr])/(n^(2)), where r is a ...

    Text Solution

    |

  20. Let y=y(x) be the solution of the differential equation cos x(3sinx+co...

    Text Solution

    |