Unit Vectors Video Lessons

Concept

# Problem:  Given the vector A=4.00i+7.00j and vector B=5.00i−2.00j, 1. Find the direction of the vector difference A−B. ∘ counterclockwise from +x direction 2. In a vector diagram show A, B, and C=A−B.

###### FREE Expert Solution

1.

The direction is obtained from:

$\overline{){\mathbf{tan}}{\mathbf{\theta }}{\mathbf{=}}\frac{{\mathbf{A}}_{\mathbf{y}}}{{\mathbf{A}}_{\mathbf{x}}}}$

θ = tan-1 (Ay/Ax)

###### Problem Details

Given the vector A=4.00i+7.00j and vector B=5.00i−2.00j,

1. Find the direction of the vector difference A−B. ∘ counterclockwise from +x direction

2. In a vector diagram show A, B, and C=A−B.