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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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