To understand that adding vectors by using geometry and by using components give

Question

To understand that adding vectors by using geometry and by using components gives the same result, and that manipulating vectors with components is much easier. Vectors may be manipulated either geometrically or using components. In this problem we consider the addition of two vectors using both of these two methods. Having shown that the length of C rightarrow obtained using either geometrical addition OR componentwise addition are the same, all that remains is to show that any one of the other conditions from part A is satisfied. In the last two parts of the problem, we'll show that the y component of C rightarrow determined geometrically is equal to that given above. We begin by finding the y component of C rightarrow from its length and the angle it makes with the x axis, that is, from geometry. Express the y component of C rightarrow in terms of C and phi .

Explanation / Answer

it seems y is parallel o x-axis and hence y-component of C would be 0

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