Question

I really need help on this review I have to show my work but I don’t know how to do the 2nd problem or the 3rd problem. This review worksheet is due tomorrow. I would really appreciate it if someone could help solve these 2 problems for me. I’ll give u 20 points if you can correctly help me on these 2 vector questions

Answer 1

(2) -
`\vec v= < 15.5885, -9 >`

(3) -
`\vec u= < -59.9371, 148.349 >`

Explanation:

Problem #2:

Given the vector in magnitude-angle form, find it in component form.

Call the vector, vector "v."

`||\vec v||= 18 \ at \ -30 \textdegree\\\\\rightarrow \boxed\cos\theta,\\\\\Longrightarrow \vec v= < (18)\cos( -30 \textdegree),(18)\sin( -30 \textdegree) > \\\\\therefore \boxed{\boxed{ \vec v= < 15.5885, -9 > }}`

Problem #3:

Given the vector in magnitude-angle form, find it in component form.

Call the vector, vector "u."

`||\vec u||= 160 \ at \ 112 \textdegree\\\\\rightarrow \boxed\\\\\Longrightarrow \vec u= < (160)\cos( 112 \textdegree),(160)\sin( 112 \textdegree) > \\\\\therefore \boxed{\boxed{ \vec u= < -59.9371, 148.349 > }}`