Question

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

Answer 1

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

$A = (-D)$;$A//D$;

$2A=-2D$

B is parallel to C and in same direction.

$B//C\\B=C$

$0.5B=0.5C$

$R= B-D;\\R= 0.5B+0.5B-D;\\R=0.5B+0.5C-D;\\R=0.5B+0.5C-2D+D;\\R=0.5B+0.5C+2A+D;$