Question

[E] Simple Problems
1. If the sides AB and AD of a parallelogram ABCD represent the vectors P and Q what are the vectors represented
by (i) AC, (ii) CD, (iii) BC, (iv) BD.
[Ans. (i) P + Q (ii) -P (iii) Q (iv) Q - P]
2
1.​

Answer 1

Explanation:

AB = P VECTOR

AD = Q VECTOR

ABCD PARALLELOGRAM

AC REPRESENTS DIAGONAL THAT IS RESULTANT OF P AND Q IS R = P+Q

CD IS THE PARALLEL SIDE TO AB

BUT DIRECTION IS OPPOSITE SO. - P RESULT

BC IS THE PARALLEL SIDE TO AD WHICH IS IN SAME DIRECTION SO Q IS RESULT

BD IS THE OPPOSITE DIAGONAL

SO Q-P IS ANSWER