Home
Class 12
MATHS
Find the area of the rectangle having ve...

Find the area of the rectangle having vertices A,B,C and D with position vectors.
`-hati+1/2hatj+4hatk,hati+1/2hatj+4hatk,hati-1/2hatj+4hatk and -hati-1/2hatj+4hatk` respectively.

Text Solution

Verified by Experts

The correct Answer is:
Area of rectangle=2 sq. units
Promotional Banner

Topper's Solved these Questions

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos
  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART -B|12 Videos
  • K-CET-MATHEMATICS-2016

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |60 Videos
  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

Similar Questions

Explore conceptually related problems

Consider A, B, C or D with position vectors : 7 hati - 4 hatj + 7 hatk, hati - 6 hatj + 10 hatk, - hati - 3 hat + 4 hatk and 5 hati - hatj + 5 hatk respectively. Then ABCD is a:

Find the direction cosines of the resultant of the vectors (hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk) .

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Show that the four points which position vectors. 4hati+8hatj+12hatk, 2hati+4hatj+6hatk, 3hati+5hatj+4hatk and 5hati+8hatj+5hatk are coplanar.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

Show that the four points with position vectors 4 hati +8 hatj + 12 hatk, 2 hati + 4 hatj + 6 hatk , 3 hati + 5 hatj+ 4 hatk and 5 hati + 8 hatj + 5 hatk are coplahar .

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are complanar then m=

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

SUNSTAR PUBLICATION-P.U .BOARD LATEST MODEL QUESTION PAPER - 2 -PART-C
  1. Differentiate (x cos x)^(x)+(x sin x)^(1//x) with respect to x.

    Text Solution

    |

  2. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  3. Find int(xe^(x))/((1+x)^(2))dx

    Text Solution

    |

  4. Evaluate: int2/((1-x)(1+x^(2)))dx

    Text Solution

    |

  5. Find the area bounded by the the curve y=cos x between x=0 and x=2pi.

    Text Solution

    |

  6. Find the general solution of dy/dx+y=1(y!=1)

    Text Solution

    |

  7. Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...

    Text Solution

    |

  8. Find the area of the rectangle having vertices A,B,C and D with positi...

    Text Solution

    |

  9. Show that four points A,B,C and D with position vectors4i+5j+k,-(j+k),...

    Text Solution

    |

  10. In answering a question on a multiple choice test a student either kno...

    Text Solution

    |

  11. If f:ArarrA defined by f(x)=(4x+3)/(6x-4) where A=R-{2/3}, show that f...

    Text Solution

    |

  12. If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,...

    Text Solution

    |

  13. Solve by matrix method: 4x+3y+2z=60, x+2y+3z=45, 6x+2y+3z=70

    Text Solution

    |

  14. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

    Text Solution

    |

  15. A ladder 5cm long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  16. Find the integral of sqrt(x^(2)-a^(2) with respect to x.

    Text Solution

    |

  17. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

    Text Solution

    |

  18. Solve the differential equation dy/dx+2y tan x=sin x,y=0 when x=pi/3

    Text Solution

    |

  19. Derive the equation of a plane perpendicular to a given vector and pas...

    Text Solution

    |

  20. In an examination 20question of true-false are asked. Suppose a studen...

    Text Solution

    |