Question

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

Answer 1

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

Step-by-step 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;`