---
title: "Determine the sum of the three vectors given below. Give the resultant \\( \\vec{R} \\) in terms of:  (a) Vector components (b) Resultant vector  Vectors:  \\( \\vec{A} = 26.5 \\, \\text{m} \\) @ \\( 56^\\circ \\) NW  \\( \\vec{B} = 44 \\, \\text{m} \\) @ \\( 28^\\circ \\) NE  \\( \\vec{C} = 31 \\, \\text{m} \\) South"
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url: "https://nerd-notes.com/ubq/19119/"
date_modified: "2025-10-02T02:13:37+00:00"
---

# Determine the sum of the three vectors given below. Give the resultant \( \vec{R} \) in terms of:  (a) Vector components (b) Resultant vector  Vectors:  \( \vec{A} = 26.5 \, \text{m} \) @ \( 56^\circ \) NW  \( \vec{B} = 44 \, \text{m} \) @ \( 28^\circ \) NE  \( \vec{C} = 31 \, \text{m} \) South

Determine the sum of the three vectors given below. Calculate the resultant \( \vec{R} \) expressed as:

(a) Vector components
 (b) Resultant vector (its total magnitude and direction)

\[\vec{A} = 26.5 \, \text{m} \ @ \ 56^\circ \, \text{NW}\]

\[\vec{B} = 44 \, \text{m} \ @ \ 28^\circ \, \text{NE}\]

\[\vec{C} = 31 \, \text{m} \, \text{South}\]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19119/*