Home
Class 11
PHYSICS
The area of a triangle formed by the sid...

The area of a triangle formed by the sides of vector `vec(A)and vec(B)` is

A

`|vecAxxvecB|`

B

`|vecA*vecB|`

C

`(1)/(2)|vecA*vecB|`

D

`(1)/(2)|vecAxxvecB|`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Critical Thinking|36 Videos

  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|64 Videos

  • REFRACTION OF LIGHT

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the tips of the vectors vec(a) = hati - hatj - 3hatk, vec(b) = 4hati - 3hatj +hatk and vec(c) = 3 hati - hatj +2 hatk .

Let vec a,vec b and vec c be unit vectors such that vec a+vec b-vec c=0. If the area of triangle formed by vectors vec a and vec b is A, then what is the value of 4A^(2)?

The area of the triangle formed by the points whose position vectors are -3vec i+vec j,5vec i+2vec j+vec k and vec i-2vec jmath+3vec k is

Consider the following statements: 1. The magnitude of vec(a) xx vec(b) is same as the area of a triangle with sides vec(a) and vec(b) . 2. If vec(a) xx vec(b)=vec(0) where vec(a) ne 0. vec(b) ne 0 then vec(a) = lamda vec(b) which of the following statements is/are correct?

If vec(a) = 3 hat(i) + hat(j) - 4 hat(k) , vec(b) = 6 hat(i) + 5 hat(j) - 2 hat(k) . Find (a) vec(a) xx vec(b) and (b) area of a triangle whose adjacent sides are dertermined by vec(a) and vec(b) .

Area of a triangle with adjacent sides determined by vectors vec a and vec b is 20. Then the area of the triangle with adjacent sides determined by vectors (2vec a+3vec b) and (vec a-vec b) is

Given two vectors vec(A)=3hat(i)+hat(j)+hat(k) and vec(B)=hat(i)-hat(j)-hat(k) .Find the a.Area of the triangle whose two adjacent sides are represented by the vector vec(A) and vec(B) b.Area of the parallelogram whose two adjacent sides are represented by the vector vec(A) and vec(B) c. Area of the parallelogram whose diagnoals are represented by the vector vec(A) and vec(B)

Let vec a xx vec b,vec b xx vec c,vec c xx vec a are non coplanar vectors and [[vec a,vec b,vec c]]=1.vec r is a vector such that vec r.vec a=vec r.vec b=vec r.vec c=2, then area of triangle whose vertices are vec a,vec b and vec c is (A) |vecr|/2 (2) 2|vecr| (C) |vecr|/4 (D) 4|vecr|

Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors vec(A) = 3 hati +4hatj and vec(B) =- 3hati +7 hatj .

Prove that the resultant of the vectors represented by the sides vec(AB) and vec(AC) of a triangle ABC is 2 vec(AD) , where D is the mid - point of [BC].

TARGET PUBLICATION-SCALARS AND VECTORS-Evaluation Test
  1. The area of a triangle formed by the sides of vector vec(A)and vec(B) ...

    Text Solution

    |

  2. A force vec(F) = 4hat(i) + 3hat(j) - 2hat(k) is passing through the or...

    Text Solution

    |

  3. Assertion: If vec(a) = hat(i) + 2hat(j) - 2hat(k), vec(b) = 2hat(i) + ...

    Text Solution

    |

  4. Two forces of magnitudes 3 N and 5 N act at the same point on an objec...

    Text Solution

    |

  5. If vec(A) is a vector of magnitude 3 units due east. What is the magni...

    Text Solution

    |

  6. A body constrained to move in Y direction, is subjected to a force giv...

    Text Solution

    |

  7. Choose the incorrect option. The two vectors vec(P) and (Q) are dra...

    Text Solution

    |

  8. When vector hat(n) = ahat(i) + bhat(j) is perpendicular to (2hat(i) + ...

    Text Solution

    |

  9. A force of -4Fhat(K) acts O, the origin of the coordinate system. The ...

    Text Solution

    |

  10. If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis res...

    Text Solution

    |

  11. vec(A)and vec(B) are the two vectors such that ratio their dot product...

    Text Solution

    |

  12. Two vectors vec(A) and vec(B) lie in plane, another vector vec(C ) lie...

    Text Solution

    |

  13. A particle acted upon by constant forces 5hat(i) + hat(j) - 2hat(k) an...

    Text Solution

    |

  14. The x and y components of vectors vec(A) are 4 m and 6 m respectively...

    Text Solution

    |

  15. The angel subtended by the vector A = 6hat(i) + 3hat(j) + 4hat(k) with...

    Text Solution

    |

  16. A particle moves in the x-y plane under the action of a force vec(F) s...

    Text Solution

    |

  17. Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The com...

    Text Solution

    |

  18. A vector vec(A) is along the positive x-axis and its vector product w...

    Text Solution

    |

  19. What is the area of the triangle formed by sides vec(A) = 2hat(i) - 3h...

    Text Solution

    |

  20. The component of vector vec(A) = a(x) hat(i) + a(y) hat(j) + a(z) hat(...

    Text Solution

    |