Lizbooth Lizbooth
  • 06-10-2019
  • Physics
contestada


Express the vector R
B
in terms of A, B, C, and Ď, the edges of a
parallelogram.

Express the vector R B in terms of A B C and Ď the edges of a parallelogram class=

Respuesta :

Hania12
Hania12 Hania12
  • 11-10-2019

Answer:

R=0.5B+0.5C+2A+D

Explanation:

By the triangular law of vector addition

vector R= vector B- vector D

As A,B,C,D are edges of the parallelogram,

A is parallel to D but opposite in direction.

Therefore

[tex]A = (-D)[/tex];[tex]A//D[/tex];

[tex]2A=-2D[/tex]

B is parallel to C and in same direction.

[tex]B//C\\B=C\\[/tex]

[tex]0.5B=0.5C\\[/tex]

[tex]R= B-D;\\R= 0.5B+0.5B-D;\\R=0.5B+0.5C-D;\\R=0.5B+0.5C-2D+D;\\R=0.5B+0.5C+2A+D;[/tex]

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