Finding Magnitude and Direction using Component Method?

[OUmecheng]

Homework Statement

Consider the three displacement vectors A = ( -2i + 3j ) m, B = ( 2i + 7j ) m, and C = ( -7i + 5j ) m. Use the component method to determine the following.

(a) The magnitude and direction of D = A + B + C
|D| = ___ m
θ = ___° (from the +x axis)

(b) The magnitude and direction of E = -A - B + C

|D| = ___ m

θ = __° (from the +x axis)

The Attempt at a Solution

I don't even know where to begin.

 

[SammyS]

Homework Statement

Consider the three displacement vectors A = ( -2i + 3j ) m, B = ( 2i + 7j ) m, and C = ( -7i + 5j ) m. Use the component method to determine the following.

(a) The magnitude and direction of D = A + B + C
|D| = ___ m
θ = ___° (from the +x axis)

(b) The magnitude and direction of E = -A - B + C

|D| = ___ m

θ = __° (from the +x axis)

The Attempt at a Solution

I don't even know where to begin.

Can you find the components of vector D?


For vector A:

Can you calculate |A|, the magnitude of A?

Can you calculate the angle which vector A make with the +x-axis?