Question

How to calculate the value of i and j in terms of r and theta?

Answer 1

Answer:

x = rCos(Ф)

And

y = rSin(Ф)

Step-by-step explanation:

We know that

Cartesian and polar forms of vectors have following relation ship

x + y = rCos(Ф) + rSin(Ф)

Where r = √(x² + y²)

So

Now by comparing on both sides of equation we get

x = rCos(Ф)

And

y = rSin(Ф)

Hence we find out the values of x and y in term of radius r and theta (Ф)

If we want to find the values of unit vectors i and j then we have to normalize the x and y to get unit vectors.