2.Let u = (2,5) and v be a vector with a magnitude of 5 at an angle of 143.130.
Represent the following vectors geometrically on a coordinate plane and
symbolically using magnitude, direction, and components:
u, v, u + v, 2u, and - 3v.

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05-01-2022
Mathematics

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2.Let u = (2,5) and v be a vector with a magnitude of 5 at an angle of 143.130.
Represent the following vectors geometrically on a coordinate plane and
symbolically using magnitude, direction, and components:
u, v, u + v, 2u, and - 3v.

Sagot :

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Ilyons40idn Ilyons40idn · Answer 1 · 2022-01-05T22:05:15-05:00

Ilyons40idn Ilyons40idn

05-01-2022

Answer:

I Hope This Help

Step-by-step explanation:

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Goddessboiidn Goddessboiidn · Answer 2 · 2022-01-06T11:06:48-05:00

Answer:

See below

Step-by-step explanation:

Recall that [tex]\overrightarrow{v}=\langle ||\overrightarrow{v}||cos\theta,||\overrightarrow{v}||sin\theta\rangle[/tex] for a vector [tex]\overrightarrow{v}[/tex] with magnitude [tex]||v||[/tex] that makes an angle [tex]\theta[/tex] with the positive x-axis.

Thus, the component form of vector [tex]\overrightarrow{v}[/tex] is [tex]\overrightarrow{v}=\langle5cos(143.13^\circ),5sin(143.13^\circ)\rangle=\langle-4,3\rangle[/tex]

Therefore:

[tex]u=\langle2,5\rangle[/tex]

[tex]v=\langle-4,3\rangle[/tex]

[tex]u+v=\langle2,5\rangle+\langle-4,3\rangle=\langle2+(-4),5+3\rangle=\langle-2,8\rangle[/tex]

[tex]2u=2\langle2,5\rangle=\langle2(2),2(5)\rangle=\langle4,10\rangle[/tex]

[tex]-3v=-3\langle-4,3\rangle=\langle-3(-4),-3(3)\rangle=\langle12,-9\rangle[/tex]

View the attached graph to see each vector graphed

Sagot :

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