Home
Class 12
MATHS
Let O be the origin and vec(OX) , vec(O...

Let O be the origin and` vec(OX) , vec(OY) , vec(OZ)` be three unit vector in the directions of the sides `vec(QR) , vec(RP),vec(PQ)` respectively , of a triangle PQR.
`|vec(OX)xxvec(OY)|=`

A

`sin(P+R)`

B

`sin(Q+R)`

C

`sin(P+Q)`

D

`sin2R`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Let O be the origin , and vec(OX),vec(OY),vec(OZ) be three unit vector in the directions of the sides vec(OR) , vec(RP) , vec(PQ) respectively, of a triangle PQR, Then , |vec(OX) xx vec(OY)| =

The unit vector bisecting vec(OY) and vec(OZ) is

Let vec a , vec b , vec c be the three unit vectors such that vec a+5 vec b+3 vec c= vec0 , then vec a. ( vec bxx vec c) is equal to

Let vec a, vec b, vec c be three vectors from vec a xx (vec b xxvec c) = (vec a xxvec b) xxvec c, if

If vec a, vec b, vec c be three vectors such that [vec with bvec c] = 4 then [vec a xxvec bvec b xxvec cvec c xxvec a] =

vec a, vec b, vec c are three non-zero vectors. If o + be defined as vec x o + vec y = vec x + vec y + vec x xxvec y and

Let vec(p),vec(q),vec(r) be three unit vectors such that vec(p)xxvec(q)=vec(r) . If vec(a) is any vector such that [vec(a)vec(q)vec(r )]=1,[vec(a)vec(r)vec(p )]=2 , and [vec(a)vec(p)vec(q )]=3 , then vec(a)=

If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec 0, then prove that vec a xxvec b=vec b xxvec c=vec c xxvec a

if vec a is a unit vector and projection of vec x along vec a is 2 units and (vec a xxvec x)+vec b=vec x then vec x is given by

MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

    Text Solution

    |

  2. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

    Text Solution

    |

  3. The edges of a parallelopiped are of unit length and are parallel to n...

    Text Solution

    |

  4. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  5. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

    Text Solution

    |

  6. Let P, Q, R and S be the points on the plane with position vectors -2h...

    Text Solution

    |

  7. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

    Text Solution

    |

  8. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

    Text Solution

    |

  9. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

    Text Solution

    |

  10. Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be th...

    Text Solution

    |

  11. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

    Text Solution

    |

  12. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  13. Let vecx,vecy and vecz be three vector each of magnitude sqrt(2) an...

    Text Solution

    |

  14. Let veca, vecb and vecc be non - coplanar unit vectors, equally inclin...

    Text Solution

    |

  15. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

    Text Solution

    |

  16. Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a...

    Text Solution

    |

  17. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  18. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

    Text Solution

    |

  19. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  20. Letveca and vecb be two unit vectors such that veca.vecb=0. For some x...

    Text Solution

    |