Question

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

a) Write each vector in Figure on the right in terms of

the unit vectors î and ĵ.

b) Use unit vectors to express the vector C , where

C = 3.0A − 4.0B⃑ .

c) Find the magnitude and direction of C .

Answer 1

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

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

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

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

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