Home
Class 12
MATHS
The position vectors of the points A,B,C...

The position vectors of the points A,B,C and D are `3hat(i)-2hat(j)-hatk,2hat(i)-3hat(j)+2hat(k),5hat(i)-hatj+2hatk" and " 4hati-hatj+lambdahatk` respectively. If the points A,B,C and D lie on a plane, the value of `lambda` is

A

0

B

1

C

2

D

-4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise HS 2019 PART -B|10 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

  • RANDOM VARIABLE AND ITS DISTRIBUTION

    CHHAYA PUBLICATION|Exercise Assertion Reason Type|8 Videos

Similar Questions

Explore conceptually related problems

The position vectors of the point A ,B ,C and D are 3 hat i-2 hat j- hat k ,2 hat i+3 hat j-4 hat k ,- hat i+ hat j+2 hat k and 4 hat i+5 hat j+lambda hat k , respectively. If the points A ,B ,C and D lie on a plane, find the value of lambda .

The position vectors of the points A, B and C are 2hat(i)+6hat(j)-hat(k), hat(i)+2hat(j)+4hat(k) " and " 3hat(i)+10hat(j)-6hat(k) respectively. Show that the points A, B and C are collinear.

The position vectors of the points A,B, and C are 2hat(i)+4hat(j)-hat(k), 4hat(i)+5hat(j)+hat(k) " and " 3hat(i)+6hat(j)-3hat(k) respectively. Show that the points form a right-angled triangle.

If the position vectors of the points A, B C are 3hat(i)-4hat(j)-4hat(k), 2hat(i)-hat(j)+hat(k) " and " hat(i)-3hat(j)-5hat(k) respectively. Show that ABC is right-angled triangle.

The position vectors of the points A, B, C and D are hat(i)+hat(j)+hat(k), 2hat(i)+3hat(j), 3hat(i)+5hat(j)-2hat(k) " and " -hat(j)+hat(k) respectively. Show that vec(AB) " and " vec(CD) are parallel and find the ratio of their moduli.

If the position vectors of the points A, B, C are -2hat(i)+2hat(j)+2hat(k), 2hat(i)+3hat(j)+3hat(k) " and " -hat(i)-2hat(j)+3hat(k) respectively, show that ABC is an isosceles triangle.

The position vectors of four points A,B,C and D are 4hati+8 hat j+12hatk,2hati+4hatj+6 hatk,3hati+5hatj+4 hat k and 5hati+8 hat j+5 hat k respectively. Using vector method prove that the four points A,B,C and D are coplanar.

The position vectors of the points A and B are 3hat(i)-hat(j)+7hat(k) " and " 4hat(i)-3hat(j)-hat(k) , find the magnitude and direction cosines of vec(AB)

The position vectors of the points A, B and C are -5hat(i)+hat(j), 5hat(i)+5hat(j) " and " 10hat(i)+7hat(j) , show that the points A, B, C are colinear.

veca=hati+3hat(j)-hatk" and "vecb=2hat(i)+6hat(j)+lambdahatk . If veca" and "vecb vectors are parallel, then the value of lambda is

CHHAYA PUBLICATION-QUESTIONS PAPER -2019-WBJEE 2019
  1. lim(xto0+)(e^x+x)^((1)/(x))

    Text Solution

    |

  2. Let f(x) be a derivable function f'(x)gtf(x)" and " f(0)=0. Then

    Text Solution

    |

  3. Let f:[1,3] toR be a continuous function that is differentiable in (1,...

    Text Solution

    |

  4. Let a=min(x^2+2x+3:x inR) and b=lim(thetato0)(1-cos theta)/(theta^2). ...

    Text Solution

    |

  5. Let agtbgt0 and I(n)=a^((1)/n)-b^((1)/(n)),J(n)=(a-b)^((1/(n)) for all...

    Text Solution

    |

  6. If A and B are independent events , then P(B/A)=

    Text Solution

    |

  7. The position vectors of the points A,B,C and D are 3hat(i)-2hat(j)-hat...

    Text Solution

    |

  8. Find value of sin^-1(cos((33pi)/5))

    Text Solution

    |

  9. The system of equations lambdax+y+3z=0,2x+muy-z=0,5x+7y+z=0 has infini...

    Text Solution

    |

  10. Let f:XtoY and A,B are non-void subsets of Y, then

    Text Solution

    |

  11. Let S,T,U be three non-void sets and f:StoT,g:TtoU be so that g@f:StoU...

    Text Solution

    |

  12. Let f(x)=x^4-4x^3+4x^2+c, cinR, Then

    Text Solution

    |

  13. The graphs of the polynomial x^2-1 and cosx intersect

    Text Solution

    |

  14. A point is in motion along a hyperbola y=(10)/(x) so that its abscissa...

    Text Solution

    |

  15. Let In=int0^1x^ntan^(-1)xdx." Then prove that "(n+1)I(n)+(n-1)I(n-2)=p...

    Text Solution

    |

  16. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  17. The area bounded by y=x+1" and "y=cosx and the x-axis, is

    Text Solution

    |

  18. Let A=({:(3,0,3),(0,3,0),(3,0,3):}). Then the roots of the equation de...

    Text Solution

    |

  19. f and g be differentiable on the interval I and let a,b inI, altb. The...

    Text Solution

    |

  20. Find the period of the function f(x) = sin((pi x)/3) + cos ((pi x)/2...

    Text Solution

    |