Vector vector A has x and y components of -8.60 cm and 15.0 cm, respectively; vector vector B has x and y components of 12.4 cm and -6.80 cm, respectively. If vector A - vector B + 3vector C = 0, what are the components of vector C?

Respuesta :

Answer:

Vector C will be equal to [tex]\bar{C}=6.3i-7.266j[/tex]

Explanation:

It is given two vector A has x and y component as -8.65 cm and 15 cm

So vector A can be represented as [tex]\bar{A}=-6.5i+15j[/tex]

And vector B has x and y component as 12.4 cm and -6.8 cm

So vector B can be represented as [tex]\bar{B}=12.4i-6.80j[/tex]

According to question [tex]\bar{A}-\bar{B}+3\bar{C}=0[/tex]

[tex]-6.5i+15j-(12.4i-6.8j)+3\bar{C}=0[/tex]

[tex]3\bar{C}=18.9i-21.8j[/tex]

[tex]\bar{C}=6.3i-7.266j[/tex]

So vector C will be equal to [tex]\bar{C}=6.3i-7.266j[/tex]

Answer:

The components of vector C are:

Cx = 7 cm

Cy = -7.27 cm

Explanation:

Please look at the solution in the attached Word document

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