Question

Vector u has a magnitude of 5 units and a direction angle of 75 degrees and vector v has a magnitude of 6 units and a direction angle 210 degrees. What is the component form of vector u+v?

Answer 1

Answer:

Magnitude of u + v is = 5.34

Step-by-step explanation:

u = 5 units

$\theta = 75$°

Component of u vector = $u \cos \theta$

Component of u vector = 5 × $\cos 75$

Component of u vector = 1.29

v = 6 units

$\theta = 210$°

Component of v vector = $v \cos \theta$

Component of v vector = 6 × $\cos 210$°

Component of v vector = - 5.19

Magnitude of u & v is

$\sqrt{u^{2} +v^{2} }$

$\sqrt{1.29^{2} +(-5.19)^{2} }$  

Magnitude =  5.34

Therefore Magnitude of u + v is = 5.34