Home
Class 12
MATHS
If bar(PR)=2hat(i)+hat(j)+hat(k),bar(QS)...

If `bar(PR)=2hat(i)+hat(j)+hat(k),bar(QS)=hat(i)+3hat(j)+2hat(k),` then the area of the quadrilateral PQRS is

A

` 5sqrt3 `

B

` 10sqrt3 `

C

` (5sqrt3)/(2) `

D

` (3)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.10(M.C.Q)|25 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=3hat(i)+5hat(j)-hat(k), then a vector perpendicular to vec(a) and lies in the plane containing vec(b)andvec(c) is

For vec(a)=hat(i)+hat(j)-2hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c)=hat(i)-2hat(j)+2hat(k) , then find the unit vector parallal to vec(a)+vec(b)+vec(c) is ...................... .

Let alpha in R and the three vectors a=alpha hat(i) + hat(j) +3hat(k) , b=2hat(i) +hat(j) -alpha hat(k) " and " c= alpha hat(i) -2hat(j) +3hat(k) . Then the set S={alpha: a,b " and c are coplanar"}

vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=-hat(i)+2hat(j)-4hat(k),vec(c)=hat(i)+hat(j)+hat(k)" then find the of "(vec(a)xxvec(b))*(vec(a)xxvec(c)).

Show that the points whose position vectors are 2hat(i) + 3hat(j) - 5hat(k), 3hat(i) + hat(j) - 2hat(k) and 6hat(i) - 5hat(j) + 7hat(k) are collinear.

Forces 2hat(i)+7hat(j),2hat(i)-5hat(j)+6hat(k),-hat(i)+2hat(j)-hat(k) act at a point P whose position vector is vec(4)-3hat(j)-2hat(k). Find the vector moment of the resultant of these forces acting at P about this Point Q whose position vector is 6hat(i)+hat(j)-3hat(k)

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=3hat(i)+hat(j)" then "vec(a)+tvec(b) will be perpendicular to vec(c) only when t =

The angle between the lines vec(r)=(hat(i)+2hat(j)-3hat(k))+t(2hat(i)+hat(j)-2hat(k))" and the plane "vec(r)*(hat(i)+hat(j))+4=0 is

show that the vectors 3 hat(i)- 2hat(j)+ hat(k), hat(i)-3hat(j)+5hat(k) and 2hat(i)+ hat(j)- 4 hat(k) form a right angled triangle

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the point of intersection of the line passing through the two poi...

    Text Solution

    |

  2. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  3. Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-...

    Text Solution

    |

  4. Find the meeting point of the line vecr=(2veci+vecj-3veck)+t(2veci-v...

    Text Solution

    |

  5. Show that the following planes are at right angles: vecr.(2veci+vec...

    Text Solution

    |

  6. The planes vecr.(2vec+lambdavecj-3veck)=10 and vecr.(lambdavec+3ve...

    Text Solution

    |

  7. Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and th...

    Text Solution

    |

  8. Find the angle between the line vecr=veci+vecj+3veck+lambda(2veci+ve...

    Text Solution

    |

  9. If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-v...

    Text Solution

    |

  10. If veca=hati-hatk,vecb=xhati+hatj+(1-x)hatk,vecc=yhati+xhatj+(1+x-y)h...

    Text Solution

    |

  11. If veca , vecb , vecc are three non-coplanar vector and vecp...

    Text Solution

    |

  12. The value of hati.(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjxxhati) ...

    Text Solution

    |

  13. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  14. The value of hati.(hatjxxhatk)+(hatixxhatk).hatj …….

    Text Solution

    |

  15. The value of [hati - hatj , hatj - hatk, hatk - hati] is :

    Text Solution

    |

  16. Show that vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=vec0.

    Text Solution

    |

  17. The area of the parallelogram having diagonals vec(a)=3hat(i)+hat(j)-2...

    Text Solution

    |

  18. Show that vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=vec0.

    Text Solution

    |

  19. If bar(PR)=2hat(i)+hat(j)+hat(k),bar(QS)=hat(i)+3hat(j)+2hat(k), then ...

    Text Solution

    |

  20. if (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) where veca,vecb,vecc ar...

    Text Solution

    |