Adding Vectors by Components Video Lessons

Concept

# Problem: A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:A. zeroB. 3C. 12D. 47E. 50

###### FREE Expert Solution

The magnitude of the sum of two vectors is expressed as:

$\overline{){\mathbf{R}}{\mathbf{=}}\mathbf{|}\stackrel{\mathbf{⇀}}{\mathbf{A}}\mathbf{|}{\mathbf{+}}\mathbf{|}\stackrel{\mathbf{⇀}}{\mathbf{B}}\mathbf{|}}$

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###### Problem Details

A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:

A. zero

B. 3

C. 12

D. 47

E. 50