Home
Class 11
PHYSICS
Using scalar product of two vectors deri...

Using scalar product of two vectors derive the cosine law for triangles .

Text Solution

AI Generated Solution

To derive the cosine law for triangles using the scalar product of two vectors, we can follow these steps: ### Step 1: Define the Triangle and Vectors Consider a triangle with vertices A, B, and C. We can represent the sides opposite to these vertices as vectors: - Let vector **A** represent the side opposite vertex A. - Let vector **B** represent the side opposite vertex B. - Let vector **C** represent the side opposite vertex C. ...
Promotional Banner

Topper's Solved these Questions

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise ADDITIONAL SOLVED PROBLEMS |22 Videos

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise EXAMPLES |26 Videos

  • UNITS

    ICSE|Exercise MODULE 3 (SELECTED PROBLEMS) |38 Videos

  • WAVES

    ICSE|Exercise From Musical Sound|10 Videos

Similar Questions

Explore conceptually related problems

Define vector product of two vectors.

What is scalar product of two vectors ? Give two examples .

What is scalar product of two vectors is vectors ? Why is it called so ?

What do you understand by the scalar product of two vectors ? Write the formula, explaining the symbols used.

Write the formula of the scalar product of two vectors explaining the symbols.

The angle between two vectors vec(u) and vec(v) is 60^(@) .Find (i) the scalar product of the two vectors and (ii) the vector product of the two vectors , if vec(u) =7 units , vec (v) = 14 units ?

The scalar produced of two vectors is zerois zero what does it imply?

What is vector product of two vectors ? Give two examples .

The magnitude of scalar product of two vectors is 8 and of vector product is 8sqrt(3) . The angle between them is:

Assertion -Magnitude of vector product of two vectors may be greater then , equal to or less than the scalar product . Reason At theta=45^(@) two are equal .

ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Using scalar product of two vectors derive the cosine law for triangle...

    Text Solution

    |

  2. Differentiate the following w.r.t x 2020

    Text Solution

    |

  3. Differentiate the following w.r.t x pi^(2)

    Text Solution

    |

  4. Differentiate the following w.r.t x pie

    Text Solution

    |

  5. Differentiate the following w.r.t x e^(-5)

    Text Solution

    |

  6. Differentiate the following w.r.t x 16x^(8)

    Text Solution

    |

  7. Differentiate the following w.r.t x x^(-4)

    Text Solution

    |

  8. Differentiate the following w.r.t x x^(5//2)

    Text Solution

    |

  9. Differentiate the following w.r.t x 4x^(3)-10 -6x^(2)

    Text Solution

    |

  10. Differentiate the following w.r.t x x^(2) +3x +3/x

    Text Solution

    |

  11. Differentiate the following w.r.t x tan(3x+1)

    Text Solution

    |

  12. Differentiate the following w.r.t x cos 3x

    Text Solution

    |

  13. Differentiate the following w.r.t x sqrt(sinx)

    Text Solution

    |

  14. Differentiate the following w.r.t x 3x^(2)+12x - 11//x

    Text Solution

    |

  15. Differentiate the following w.r.t x tan x+2 sin + 3 cos x - 1/2 lo...

    Text Solution

    |

  16. Differentiate w.r.t x using product rule . (5x+2) (4-3x)

    Text Solution

    |

  17. Differentiate w.r.t x using product rule . sqrt(x). sec x

    Text Solution

    |

  18. Differentiate w.r.t x using product rule . (ax^(2)+bx+c)(x-d)

    Text Solution

    |

  19. Differentiate w.r.t x using product rule . x^(3) sin x

    Text Solution

    |

  20. Differentiate w.r.t x using product rule . x sin x log x

    Text Solution

    |

  21. Differentiate w.r.t x using product rule . (1+ 2 tan x) ( 5+4 cos x)

    Text Solution

    |