Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

write \\(\\overrightarrow{uv}\\) in component form, with \\(u(-5, 0)\\)…

Question

write \\(\overrightarrow{uv}\\) in component form, with \\(u(-5, 0)\\) and \\(v(-1, 3)\\). \\(\overrightarrow{uv} = \langle \square, \square \
angle\\) submit

Explanation:

Step1: Recall component form formula

To find the component form of vector \(\overrightarrow{UV}\) with \(U(x_1,y_1)\) and \(V(x_2,y_2)\), we use the formula \(\overrightarrow{UV}=\langle x_2 - x_1,y_2 - y_1
angle\). Here, \(x_1=-5,y_1 = 0,x_2=-1,y_2 = 3\).

Step2: Calculate the x - component

Substitute the values into the x - component formula: \(x_2 - x_1=-1-(-5)=-1 + 5 = 4\).

Step3: Calculate the y - component

Substitute the values into the y - component formula: \(y_2 - y_1=3 - 0=3\).

Answer:

\(\langle4,3
angle\)