Unit Vectors Video Lessons

Concept

# Problem:  Given the vector A=4.00i+7.00j and vector B=5.00i−2.00j, 1. Write an expression for the vector difference A−B using unit vectors 2. Find the magnitude of the vector difference A−B.

###### FREE Expert Solution

Vector magnitude:

$\overline{){\mathbf{|}}\stackrel{\mathbf{⇀}}{\mathbf{A}}{\mathbf{|}}{\mathbf{=}}\sqrt{{{\mathbf{A}}_{\mathbf{x}}}^{\mathbf{2}}\mathbf{+}{{\mathbf{A}}_{\mathbf{y}}}^{\mathbf{2}}}}$

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###### Problem Details

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

1. Write an expression for the vector difference A−B using unit vectors

2. Find the magnitude of the vector difference A−B.