Answer to Question #309939 in Mechanics | Relativity for Man

Question

Given: 𝐴 = 100𝑚, 30°𝑁𝑜𝑓𝐸; 𝐵⃑ = 80𝑚, 30°𝑊𝑜𝑓𝑁and𝐶 = 40𝑚, 55°𝑆𝑜𝑓𝑊

a. Plot the given vectors in the coordinate plane.

b. Calculate the components of vectors A, B and C. 

c. Write each vector in terms of the unit vectors.

d. Determine the resultant vector.

e. 𝐴 − 2𝐵⃑ + 𝐶 f. 𝐶 + 𝐴 − 𝐵⃑

Answer 1

$\vec A=86.6\vec i+50\vec j,$

$\vec B=-40\vec i+69.3\vec j,$

$\vec C=-22.9\vec i-32.8\vec j.$

$\vec A-2\vec B+\vec C=143.7\vec i-121.4\vec j,$

$\vec C+\vec A-\vec B=103.7\vec i-52.1\vec j.$