Question

Prove that the parallelogram law in physics wrong answers will be reported Spams will be deleted​

Answer 1

Answer:

Explanation:

Apply trigonometric identity cos(180 – x) = – cos x in (2)

x2 + y2 + 2xy cos(α) = AC2

Now, the sum of the squares of the diagonals (BD2 + AC2) are represented as,

BD2 + AC2  = x2 + y2 – 2xycos(α) + x2 + y2 + 2xy cos(α)

Simplify the above expression, we get;

BD2 + AC2 =2x2 + 2 y2 ——-(3)

The above equation is represented as:

BD2 + AC2 = 2(AB)2 + 2(BC)2

Hence, the parallelogram law is proved.

Answer 2

Answer:

If two vectors are acting simultaneously at a point, then it can be represented both in magnitude and direction by the adjacent sides drawn from a point. Therefore, the resultant vector is completely represented both in direction and magnitude by the diagonal of the parallelogram passing through the point.

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