Use the component method to add the vectors A and B shown in the figure. The length of B is 2.55 m and the angle e = 25.0°. Express the resultant A + B in unit-vector notation. A +B = 3.00 m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 35E
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Use the component method to add the vectors A and B shown in the figure. The length of B is 2.55 m and the angle e = 25.0°. Express the resultant A + B in unit-vector notation.
A + B =
3.00 m
Transcribed Image Text:Use the component method to add the vectors A and B shown in the figure. The length of B is 2.55 m and the angle e = 25.0°. Express the resultant A + B in unit-vector notation. A + B = 3.00 m
Expert Solution
Step 1: Formula used and given.

Suppose we have two vectors A and B then its addition in component method is given by

A + B = Acos(θ1) +|B| cos(θ2)i + Asin(θ1) +|B| sin(θ2)j.

Given: |A| = 3, |B| = 2.55, θ1 = 25°, θ2 = 90°.

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