Home
Class 12
MATHS
Two forces vec A B and vec A D are act...

Two forces ` vec A B` and ` vec A D` are acting at vertex A of a quadrilateral ABCD and two forces ` vec C B` and ` vec C D` at C prove that their resultant is given by 4` vec E F` , where E and F are the midpoints of AC and BD, respectively.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the forces acting at points A and C of the quadrilateral ABCD and express their resultant in terms of the midpoints E and F of the segments AC and BD, respectively. ### Step-by-Step Solution: 1. **Identify the Forces**: We have two forces acting at vertex A: - \( \vec{AB} \) - \( \vec{AD} \) ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 8|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 9|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 6|1 Videos

  • INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|764 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos

Similar Questions

Explore conceptually related problems

A B C D is a quadrilateral. Find the sum the vectors vec B A , vec B C , and vec D A .

A B C D is a quadrilateral. Find the sum the vectors vec B A , vec B C , and vec D A .

Five forces vec A B , vec A C , vec A D , vec A E and vec A F act at the vertex of a regular hexagon A B C D E Fdot Prove that the resultant is 6 vec A O , where O is the centre of hexagon.

Five forces vec A B , vec A C , vec A D , vec A E and vec A F act at the vertex of a regular hexagon A B C D E Fdot Prove that the resultant is 6 vec A O , where O is the centre of heaagon.

Prove that the resultant of two forces acting at point O and represented by vec O B and vec O C is given by 2 vec O D ,where D is the midpoint of BC.

Prove that the resultant of two forces acting at point O and represented by vec O B and vec O C is given by 2 vec O D ,where D is the midpoint of BC.

if vec Ao + vec O B = vec B O + vec O C ,than prove that B is the midpoint of AC.

If A B C D is quadrilateral and E and F are the mid-points of AC and BD respectively, prove that vec A B+ vec A D + vec C B + vec C D =4 vec E Fdot

ABCDE is a pentagon. Prove that the resultant of force vec A B , vec A E , vec B C , vec D C , vec E D and vec A C ,is 3 vec A C .

If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n dB D respectively, prove that vec A B+ vec A D + vec C B + vec C D =4 vec E Fdot